Network Working Group J. Lee Internet Draft J. Lee Intended status: Informational J. Kim Expires: June 6, 2010 D. Kwon C. Kim NSRI December 3, 2009 A Description of the ARIA Encryption Algorithm draft-nsri-aria-04.txt Status of this Memo This Internet-Draft is submitted to IETF in full conformance with the provisions of BCP 78 and BCP 79. Internet-Drafts are working documents of the Internet Engineering Task Force (IETF), its areas, and its working groups. Note that other groups may also distribute working documents as Internet-Drafts. Internet-Drafts are draft documents valid for a maximum of six months and may be updated, replaced, or obsoleted by other documents at any time. It is inappropriate to use Internet-Drafts as reference material or to cite them other than as "work in progress." The list of current Internet-Drafts can be accessed at http://www.ietf.org/ietf/1id-abstracts.txt The list of Internet-Draft Shadow Directories can be accessed at http://www.ietf.org/shadow.html This Internet-Draft will expire on June 6, 2010. Copyright Notice Copyright (c) 2009 IETF Trust and the persons identified as the document authors. All rights reserved. This document is subject to BCP 78 and the IETF Trust's Legal Provisions Relating to IETF Documents in effect on the date of publication of this document (http://trustee.ietf.org/license-info). Please review these documents carefully, as they describe your rights and restrictions with respect to this document. Abstract Lee, et al. Expires June 6, 2010 [Page 1] Internet-Draft The ARIA Encryption Algorithm December 2009 This document describes the ARIA encryption algorithm. ARIA is a 128- bit block cipher with 128-, 192-, and 256-bit keys. The algorithm consists of key scheduling part and data randomizing part. 1. Introduction 1.1. ARIA Overview ARIA is a general-purpose block cipher algorithm developed by Korean cryptographers in 2003. It is an iterated block cipher with 128-, 192-, and 256-bit keys and encrypts 128-bit blocks in 12, 14, and 16 rounds, depending on the key size. It is secure and suitable for most software and hardware implementations on 32-bit and 8-bit processors. It was established as a Korean standard block cipher algorithm in 2004 [ARIAKS] and has been widely used in Korea, especially for government-to-public services. It was included in PKCS #11 in 2007 [ARIAPKCS]. 2. Algorithm Description The algorithm consists of key scheduling part and data randomizing part. 2.1. Notations The following notations are used in this document to describe the algorithm. ^ bitwise XOR operation. <<< left circular rotation. >>> right circular rotation. || concatenation of bit strings. 0x hexadecimal representation 2.2. Key Scheduling Part Let K denote a master key of 128, 192 or 256 bits. Given the master key K, we first define 128-bit values KL and KR as follows. KL || KR = K || 0 ... 0, where the number of zeros is 128, 64 or 0, depending on the size of K. That is, KL is set to the leftmost 128 bits of K and KR is set to the remaining bits of K (if any), right-padded with zeros to a 128-bit value. Then, we define four 128-bit values W0, W1, W2 and W3 as the Lee, et al. Expires June 6, 2010 [Page 2] Internet-Draft The ARIA Encryption Algorithm December 2009 intermediate round values appearing in the encryption of KL || KR by a 3-round 256-bit Feistel cipher. W0 = KL, W1 = FO(W0, CK1) ^ KR, W2 = FE(W1, CK2) ^ W0, W3 = FO(W2, CK3) ^ W1. Here, FO and FE, respectively called odd and even round functions, are defined in Section 2.4.1. CK1, CK2 and CK3 are 128-bit constants, taking one of the following values. C1 = 0x517cc1b727220a94fe13abe8fa9a6ee0 C2 = 0x6db14acc9e21c820ff28b1d5ef5de2b0 C3 = 0xdb92371d2126e9700324977504e8c90e These values are obtained from the first 128*3 bits of the fractional part of 1/PI, where PI is the circle ratio. Now the constants CK1, CK2, and CK3 are defined by the following table. Key size CK1 CK2 CK3 128 C1 C2 C3 192 C2 C3 C1 256 C3 C1 C2 For example, if the key size is 192 bits, CK1 = C2, CK2 = C3 and CK3 = C1. Once W0, W1, W2 and W3 are determined, we compute encryption round keys ek1,...,ek17 as follows. ek1 = W0 ^(W1 >>> 19), ek2 = W1 ^(W2 >>> 19), ek3 = W2 ^(W3 >>> 19), ek4 = (W0 >>> 19) ^ W3, ek5 = W0 ^ (W1 >>> 31), ek6 = W1 ^ (W2 >>> 31), ek7 = W2 ^ (W3 >>> 31), ek8 = (W0 >>> 31) ^ W3, ek9 = W0 ^ (W1 <<< 61), ek10 = W1 ^ (W2 <<< 61), ek11 = W2 ^ (W3 <<< 61), ek12 = (W0 <<< 61) ^ W3, ek13 = W0 ^ (W1 <<< 31), ek14 = W1 ^ (W2 <<< 31), ek15 = W2 ^ (W3 <<< 31), ek16 = (W0 <<< 31) ^ W3, Lee, et al. Expires June 6, 2010 [Page 3] Internet-Draft The ARIA Encryption Algorithm December 2009 ek17 = W0 ^ (W1 <<< 19). The number of rounds depends on the size of the master key as follows. Key size Number of Rounds 128 12 192 14 256 16 Due to an extra key addition layer in the last round, 12-, 14-, and 16-round algorithms require 13, 15, and 17 round keys, respectively. Decryption round keys are derived from the encryption round keys. dk1 = ek{n+1}, dk2 = A(ek{n}), dk3 = A(ek{n-1}), ..., dk{n}= A(ek2), dk{n+1}= ek1. Here, A and n denote the diffusion layer of ARIA and the number of rounds, respectively. The diffusion layer A is defined in Section 2.4.3. 2.3 Data Randomizing Part The data randomizing part of the ARIA algorithm consists of the encryption and decryption processes. The encryption and decryption processes use functions FO, FE, A, SL1, and SL2. These functions are defined in Section 2.4. 2.3.1. Encryption Process 2.3.1.1. Encryption for 128-bit keys Let P be a 128-bit plaintext and K be a 128-bit master key. Let ek1,..., ek13 be the encryption round keys defined by K. Then the ciphertext C is computed by the following algorithm. P1 = FO(P , ek1 ); // Round 1 P2 = FE(P1 , ek2 ); // Round 2 P3 = FO(P2 , ek3 ); // Round 3 P4 = FE(P3 , ek4 ); // Round 4 P5 = FO(P4 , ek5 ); // Round 5 P6 = FE(P5 , ek6 ); // Round 6 P7 = FO(P6 , ek7 ); // Round 7 Lee, et al. Expires June 6, 2010 [Page 4] Internet-Draft The ARIA Encryption Algorithm December 2009 P8 = FE(P7 , ek8 ); // Round 8 P9 = FO(P8 , ek9 ); // Round 9 P10 = FE(P9 , ek10); // Round 10 P11 = FO(P10, ek11); // Round 11 C = SL2(P11 ^ ek12) ^ ek13; // Round 12 2.3.1.2. Encryption for 192-bit keys Let P be a 128-bit plaintext and K be a 192-bit master key. Let ek1,..., ek15 be the encryption round keys defined by K. Then the ciphertext C is computed by the following algorithm. P1 = FO(P , ek1 ); // Round 1 P2 = FE(P1 , ek2 ); // Round 2 P3 = FO(P2 , ek3 ); // Round 3 P4 = FE(P3 , ek4 ); // Round 4 P5 = FO(P4 , ek5 ); // Round 5 P6 = FE(P5 , ek6 ); // Round 6 P7 = FO(P6 , ek7 ); // Round 7 P8 = FE(P7 , ek8 ); // Round 8 P9 = FO(P8 , ek9 ); // Round 9 P10 = FE(P9 , ek10); // Round 10 P11 = FO(P10, ek11); // Round 11 P12 = FE(P11, ek12); // Round 12 P13 = FO(P12, ek13); // Round 13 C = SL2(P13 ^ ek14) ^ ek15; // Round 14 2.3.1.3. Encryption for 256-bit keys Let P be a 128-bit plaintext and K be a 256-bit master key. Let ek1,..., ek17 be the encryption round keys defined by K. Then the ciphertext C is computed by the following algorithm. P1 = FO(P , ek1 ); // Round 1 P2 = FE(P1 , ek2 ); // Round 2 P3 = FO(P2 , ek3 ); // Round 3 P4 = FE(P3 , ek4 ); // Round 4 P5 = FO(P4 , ek5 ); // Round 5 P6 = FE(P5 , ek6 ); // Round 6 P7 = FO(P6 , ek7 ); // Round 7 P8 = FE(P7 , ek8 ); // Round 8 P9 = FO(P8 , ek9 ); // Round 9 P10= FE(P9 , ek10); // Round 10 P11= FO(P10, ek11); // Round 11 P12= FE(P11, ek12); // Round 12 P13= FO(P12, ek13); // Round 13 P14= FE(P13, ek14); // Round 14 Lee, et al. Expires June 6, 2010 [Page 5] Internet-Draft The ARIA Encryption Algorithm December 2009 P15= FO(P14, ek15); // Round 15 C = SL2(P15 ^ ek16) ^ ek17; // Round 16 2.3.2 Decryption Process The decryption process of ARIA is the same as the encryption process except that encryption round keys are replaced by decryption round keys. For example, encryption round keys ek1,..., ek13 of the 12- round ARIA algorithm are replaced by decryption round keys dk1,..., dk13, respectively. 2.4 Components of ARIA 2.4.1. Round Functions There are two types of round functions for ARIA. One is called an odd round function, and denoted FO. It takes as input a pair (D,RK) of two 128-bit strings and outputs FO(D,RK) = A(SL1(D ^ RK)). The other is called an even round function, and denoted FE. It takes as input a pair (D,RK) of two 128-bit strings and outputs FE(D,RK) = A(SL2(D ^ RK)). Functions SL1 and SL2, called substitution layers, are described in Section 2.4.2. Function A, called a diffusion layer, is described in Section 2.4.3. 2.4.2. Substitution Layers ARIA has two types of substitution layers which alternate between rounds. Type 1 is used in the odd rounds, and type 2 in the even rounds. Type 1 substitution layer SL1 is an algorithm which takes as input a 16-byte string x0 || x1 ||...|| x15 and outputs a 16-byte string y0 || y1 ||...|| y15 as follows. y0 = SB1(x0), y1 = SB2(x1), y2 = SB3(x2), y3 = SB4(x3), y4 = SB1(x4), y5 = SB2(x5), y6 = SB3(x6), y7 = SB4(x7), y8 = SB1(x8), y9 = SB2(x9), y10= SB3(x10), y11= SB4(x11), y12= SB1(x12), y13= SB2(x13), y14= SB3(x14), y15= SB4(x15). Lee, et al. Expires June 6, 2010 [Page 6] Internet-Draft The ARIA Encryption Algorithm December 2009 Type 2 substitution layer SL2 is an algorithm which takes as input a 16-byte string x0 || x1 ||...|| x15 and outputs a 16-byte string y0 || y1 ||...|| y15 as follows. y0 = SB3(x0), y1 = SB4(x1), y2 = SB1(x2), y3 = SB2(x3), y4 = SB3(x4), y5 = SB4(x5), y6 = SB1(x6), y7 = SB2(x7), y8 = SB3(x8), y9 = SB4(x9), y10= SB1(x10), y11= SB2(x11), y12= SB3(x12), y13= SB4(x13), y14= SB1(x14), y15= SB2(x15). Here, SB1, SB2, SB3, and SB4 are S-boxes which take as input an 8-bit string and output an 8-bit string. These S-boxes are defined by the following look-up tables. SB1: 0 1 2 3 4 5 6 7 8 9 a b c d e f 00 63 7c 77 7b f2 6b 6f c5 30 01 67 2b fe d7 ab 76 10 ca 82 c9 7d fa 59 47 f0 ad d4 a2 af 9c a4 72 c0 20 b7 fd 93 26 36 3f f7 cc 34 a5 e5 f1 71 d8 31 15 30 04 c7 23 c3 18 96 05 9a 07 12 80 e2 eb 27 b2 75 40 09 83 2c 1a 1b 6e 5a a0 52 3b d6 b3 29 e3 2f 84 50 53 d1 00 ed 20 fc b1 5b 6a cb be 39 4a 4c 58 cf 60 d0 ef aa fb 43 4d 33 85 45 f9 02 7f 50 3c 9f a8 70 51 a3 40 8f 92 9d 38 f5 bc b6 da 21 10 ff f3 d2 80 cd 0c 13 ec 5f 97 44 17 c4 a7 7e 3d 64 5d 19 73 90 60 81 4f dc 22 2a 90 88 46 ee b8 14 de 5e 0b db a0 e0 32 3a 0a 49 06 24 5c c2 d3 ac 62 91 95 e4 79 b0 e7 c8 37 6d 8d d5 4e a9 6c 56 f4 ea 65 7a ae 08 c0 ba 78 25 2e 1c a6 b4 c6 e8 dd 74 1f 4b bd 8b 8a d0 70 3e b5 66 48 03 f6 0e 61 35 57 b9 86 c1 1d 9e e0 e1 f8 98 11 69 d9 8e 94 9b 1e 87 e9 ce 55 28 df f0 8c a1 89 0d bf e6 42 68 41 99 2d 0f b0 54 bb 16 SB2: 0 1 2 3 4 5 6 7 8 9 a b c d e f 00 e2 4e 54 fc 94 c2 4a cc 62 0d 6a 46 3c 4d 8b d1 10 5e fa 64 cb b4 97 be 2b bc 77 2e 03 d3 19 59 c1 20 1d 06 41 6b 55 f0 99 69 ea 9c 18 ae 63 df e7 bb 30 00 73 66 fb 96 4c 85 e4 3a 09 45 aa 0f ee 10 eb 40 2d 7f f4 29 ac cf ad 91 8d 78 c8 95 f9 2f ce cd 50 08 7a 88 38 5c 83 2a 28 47 db b8 c7 93 a4 12 53 60 ff 87 0e 31 36 21 58 48 01 8e 37 74 32 ca e9 b1 70 b7 ab 0c d7 c4 56 42 26 07 98 60 d9 b6 b9 11 40 80 ec 20 8c bd a0 c9 84 04 49 23 f1 4f 50 1f 13 dc 90 d8 c0 9e 57 e3 c3 7b 65 3b 02 8f 3e e8 25 92 e5 a0 15 dd fd 17 a9 bf d4 9a 7e c5 39 67 fe 76 9d 43 b0 a7 e1 d0 f5 68 f2 1b 34 70 05 a3 8a d5 79 86 a8 c0 30 c6 51 4b 1e a6 27 f6 35 d2 6e 24 16 82 5f da Lee, et al. Expires June 6, 2010 [Page 7] Internet-Draft The ARIA Encryption Algorithm December 2009 d0 e6 75 a2 ef 2c b2 1c 9f 5d 6f 80 0a 72 44 9b 6c e0 90 0b 5b 33 7d 5a 52 f3 61 a1 f7 b0 d6 3f 7c 6d f0 ed 14 e0 a5 3d 22 b3 f8 89 de 71 1a af ba b5 81 SB3: 0 1 2 3 4 5 6 7 8 9 a b c d e f 00 52 09 6a d5 30 36 a5 38 bf 40 a3 9e 81 f3 d7 fb 10 7c e3 39 82 9b 2f ff 87 34 8e 43 44 c4 de e9 cb 20 54 7b 94 32 a6 c2 23 3d ee 4c 95 0b 42 fa c3 4e 30 08 2e a1 66 28 d9 24 b2 76 5b a2 49 6d 8b d1 25 40 72 f8 f6 64 86 68 98 16 d4 a4 5c cc 5d 65 b6 92 50 6c 70 48 50 fd ed b9 da 5e 15 46 57 a7 8d 9d 84 60 90 d8 ab 00 8c bc d3 0a f7 e4 58 05 b8 b3 45 06 70 d0 2c 1e 8f ca 3f 0f 02 c1 af bd 03 01 13 8a 6b 80 3a 91 11 41 4f 67 dc ea 97 f2 cf ce f0 b4 e6 73 90 96 ac 74 22 e7 ad 35 85 e2 f9 37 e8 1c 75 df 6e a0 47 f1 1a 71 1d 29 c5 89 6f b7 62 0e aa 18 be 1b b0 fc 56 3e 4b c6 d2 79 20 9a db c0 fe 78 cd 5a f4 c0 1f dd a8 33 88 07 c7 31 b1 12 10 59 27 80 ec 5f d0 60 51 7f a9 19 b5 4a 0d 2d e5 7a 9f 93 c9 9c ef e0 a0 e0 3b 4d ae 2a f5 b0 c8 eb bb 3c 83 53 99 61 f0 17 2b 04 7e ba 77 d6 26 e1 69 14 63 55 21 0c 7d SB4: 0 1 2 3 4 5 6 7 8 9 a b c d e f 00 30 68 99 1b 87 b9 21 78 50 39 db e1 72 9 62 3c 10 3e 7e 5e 8e f1 a0 cc a3 2a 1d fb b6 d6 20 c4 8d 20 81 65 f5 89 cb 9d 77 c6 57 43 56 17 d4 40 1a 4d 30 c0 63 6c e3 b7 c8 64 6a 53 aa 38 98 0c f4 9b ed 40 7f 22 76 af dd 3a 0b 58 67 88 06 c3 35 0d 01 8b 50 8c c2 e6 5f 02 24 75 93 66 1e e5 e2 54 d8 10 ce 60 7a e8 08 2c 12 97 32 ab b4 27 0a 23 df ef ca d9 70 b8 fa dc 31 6b d1 ad 19 49 bd 51 96 ee e4 a8 41 80 da ff cd 55 86 36 be 61 52 f8 bb 0e 82 48 69 9a 90 e0 47 9e 5c 04 4b 34 15 79 26 a7 de 29 ae 92 d7 a0 84 e9 d2 ba 5d f3 c5 b0 bf a4 3b 71 44 46 2b fc b0 eb 6f d5 f6 14 fe 7c 70 5a 7d fd 2f 18 83 16 a5 c0 91 1f 05 95 74 a9 c1 5b 4a 85 6d 13 07 4f 4e 45 d0 b2 0f c9 1c a6 bc ec 73 90 7b cf 59 8f a1 f9 2d e0 f2 b1 00 94 37 9f d0 2e 9c 6e 28 3f 80 f0 3d d3 f0 25 8a b5 e7 42 b3 c7 ea f7 4c 11 33 03 a2 ac 60 For example, SB1(0x23) = 0x26 and SB4(0xef) = 0xd3. Note that SB3 and SB4 are the inverse functions of SB1 and SB2, respectively, and accordingly SL2 is the inverse of SL1. Lee, et al. Expires June 6, 2010 [Page 8] Internet-Draft The ARIA Encryption Algorithm December 2009 2.4.3. Diffusion Layer Diffusion layer A is an algorithm which takes as input a 16-byte string x0 || x1 || ... || x15 and outputs a 16-byte string y0 || y1 ||...|| y15 by the following equations. y0 = x3 ^ x4 ^ x6 ^ x8 ^ x9 ^ x13 ^ x14, y1 = x2 ^ x5 ^ x7 ^ x8 ^ x9 ^ x12 ^ x15, y2 = x1 ^ x4 ^ x6 ^ x10 ^ x11 ^ x12 ^ x15, y3 = x0 ^ x5 ^ x7 ^ x10 ^ x11 ^ x13 ^ x14, y4 = x0 ^ x2 ^ x5 ^ x8 ^ x11 ^ x14 ^ x15, y5 = x1 ^ x3 ^ x4 ^ x9 ^ x10 ^ x14 ^ x15, y6 = x0 ^ x2 ^ x7 ^ x9 ^ x10 ^ x12 ^ x13, y7 = x1 ^ x3 ^ x6 ^ x8 ^ x11 ^ x12 ^ x13, y8 = x0 ^ x1 ^ x4 ^ x7 ^ x10 ^ x13 ^ x15, y9 = x0 ^ x1 ^ x5 ^ x6 ^ x11 ^ x12 ^ x14, y10 = x2 ^ x3 ^ x5 ^ x6 ^ x8 ^ x13 ^ x15, y11 = x2 ^ x3 ^ x4 ^ x7 ^ x9 ^ x12 ^ x14, y12 = x1 ^ x2 ^ x6 ^ x7 ^ x9 ^ x11 ^ x12, y13 = x0 ^ x3 ^ x6 ^ x7 ^ x8 ^ x10 ^ x13, y14 = x0 ^ x3 ^ x4 ^ x5 ^ x9 ^ x11 ^ x14, y15 = x1 ^ x2 ^ x4 ^ x5 ^ x8 ^ x10 ^ x15. Note that A is an involution. That is, for any 16-byte input string x, x = A(A(x)) holds. 3. Security Considerations ARIA is designed to be resistant to all known attacks on block ciphers [ARIA03]. Its security was analyzed by the COSIC group of K.U.Leuven in Belgium [ARIAEVAL] and no security flaw has been found. 4. Informative References [ARIAEVAL] A. Biryukov et al., "Security and Performance Analysis of ARIA", K.U.Leuven (2003), available at http://www.cosic.esat.kuleuven.be/publications/article- 500.pdf [ARIA03] D. Kwon et al., "New Block Cipher: ARIA", ICISC 2003, pp. 432-445. [ARIAKS] Korean Agency for Technology and Standards (KATS), "128 bit block encryption algorithm ARIA", KS X 1213:2004, December 2004 (In Korean) Lee, et al. Expires June 6, 2010 [Page 9] Internet-Draft The ARIA Encryption Algorithm December 2009 [ARIAPKCS] RSA Laboratories, PKCS #11 v2.20 Amendment 3 Revision 1: Additional PKCS #11 Mechanisms, January 2007. [X.680] ITU-T Recommendation X.680 (2002) | ISO/IEC 8824-1:2002, Information technology ?Abstract Syntax Notation One (ASN.1): Specification of basic notation. [X.681] ITU-T Recommendation X.681 (2002) | ISO/IEC 8824-2:2002, Information technology ?Abstract Syntax Notation One (ASN.1): Information object specification. [X.682] ITU-T Recommendation X.682 (2002) | ISO/IEC 8824-3:2002, Information technology ?Abstract Syntax Notation One (ASN.1): Constraint specification. [X.683] ITU-T Recommendation X.683 (2002) | ISO/IEC 8824-4:2002, Information technology ?Abstract Syntax Notation One (ASN.1): Parameterization of ASN.1 specifications. Appendix A. Example Data of ARIA Here are test data for ARIA in hexadecimal form. A.1. 128-bit key - Key : 000102030405060708090a0b0c0d0e0f - Plaintext : 00112233445566778899aabbccddeeff - Ciphertext: d718fbd6ab644c739da95f3be6451778 - Round key generators W0: 000102030405060708090a0b0c0d0e0f W1: 2afbea741e1746dd55c63ba1afcea0a5 W2: 7c8578018bb127e02dfe4e78c288e33c W3: 6785b52b74da46bf181054082763ff6d - Encryption round keys e1: d415a75c794b85c5e0d2a0b3cb793bf6 e2: 369c65e4b11777ab713a3e1e6601b8f4 e3: 0368d4f13d14497b6529ad7ac809e7d0 e4: c644552b549a263fb8d0b50906229eec e5: 5f9c434951f2d2ef342787b1a781794c e6: afea2c0ce71db6de42a47461f4323c54 e7: 324286db44ba4db6c44ac306f2a84b2c e8: 7f9fa93574d842b9101a58063771eb7b e9: aab9c57731fcd213ad5677458fcfe6d4 e10: 2f4423bb06465abada5694a19eb88459 Lee, et al. Expires June 6, 2010 [Page 10] Internet-Draft The ARIA Encryption Algorithm December 2009 e11: 9f8772808f5d580d810ef8ddac13abeb e12: 8684946a155be77ef810744847e35fad e13: 0f0aa16daee61bd7dfee5a599970fb35 - Intermediate round values P1: 7fc7f12befd0a0791de87fa96b469f52 P2: ac8de17e49f7c5117618993162b189e9 P3: c3e8d59ec2e62d5249ca2741653cb7dd P4: 5d4aebb165e141ff759f669e1e85cc45 P5: 7806e469f68874c5004b5f4a046bbcfa P6: 110f93c9a630cdd51f97d2202413345a P7: e054428ef088fef97928241cd3be499e P8: 5734f38ea1ca3ddd102e71f95e1d5f97 P9: 4903325be3e500cccd52fba4354a39ae P10: cb8c508e2c4f87880639dc896d25ec9d P11: e7e0d2457ed73d23d481424095afdca0 A.2 192-bit key Key : 000102030405060708090a0b0c0d0e0f 1011121314151617 Plaintext : 00112233445566778899aabbccddeeff Ciphertext: 26449c1805dbe7aa25a468ce263a9e79 A.3. 256-bit key Key : 000102030405060708090a0b0c0d0e0f 101112131415161718191a1b1c1d1e1f Plaintext : 00112233445566778899aabbccddeeff Ciphertext: f92bd7c79fb72e2f2b8f80c1972d24fc Appendix B. OIDs AriaModesOfOperation { iso(1) member-body(2) korea(400) nsri(200046) algorithm (1) symmetric-encryption-algorithm(1) asn1-module(0) alg-oids(0) } DEFINITIONS IMPLICIT TAGS ::= BEGIN OID ::= OBJECT IDENTIFIER -- Synonyms -- id-algorithm OID ::= { iso(1) member-body(2) korea(410) nsri(200046) algorithm(1)} Lee, et al. Expires June 6, 2010 [Page 11] Internet-Draft The ARIA Encryption Algorithm December 2009 id-sea OID ::= { id-algorithm symmetric-encryption-algorithm(1)} id-pad OID ::= { id-algorithm pad(2)} id-pad-null RELATIVE-OID ::= {0} -- no padding algorithms identified id-pad-1 RELATIVE-OID ::= {1} -- padding method 2 of ISO/IEC 9797-1:1999 -- confidentiality modes: -- ECB, CBC, CFB, OFB, CTR id-aria128-ecb OID ::= { id-sea aria128-ecb(1)} id-aria128-cbc OID ::= { id-sea aria128-cbc(2)} id-aria128-cfb OID ::= { id-sea aria128-cfb(3)} id-aria128-ofb OID ::= { id-sea aria128-ofb(4)} id-aria128-ctr OID ::= { id-sea aria128-ctr(5)} id-aria192-ecb OID ::= { id-sea aria192-ecb(6)} id-aria192-cbc OID ::= { id-sea aria192-cbc(7)} id-aria192-cfb OID ::= { id-sea aria192-cfb(8)} id-aria192-ofb OID ::= { id-sea aria192-ofb(9)} id-aria192-ctr OID ::= { id-sea aria192-ctr(10)} id-aria256-ecb OID ::= { id-sea aria256-ecb(11)} id-aria256-cbc OID ::= { id-sea aria256-cbc(12)} id-aria256-cfb OID ::= { id-sea aria256-cfb(13)} id-aria256-ofb OID ::= { id-sea aria256-ofb(14)} id-aria256-ctr OID ::= { id-sea aria256-ctr(15)} -- authentication modes: CMAC id-aria128-cmac OID ::= { id-sea aria128-cmac(21)} id-aria192-cmac OID ::= { id-sea aria192-cmac(22)} id-aria256-cmac OID ::= { id-sea aria256-cmac(23)} -- modes for both confidentiality and authentication -- OCB 2.0, GCM, CCM, Key Wrap id-aria128-ocb2 OID ::= { id-sea aria128-ocb2(31)} id-aria192-ocb2 OID ::= { id-sea aria192-ocb2(32)} id-aria256-ocb2 OID ::= { id-sea aria256-ocb2(33)} id-aria128-gcm OID ::= { id-sea aria128-gcm(34)} id-aria192-gcm OID ::= { id-sea aria192-gcm(35)} id-aria256-gcm OID ::= { id-sea aria256-gcm(36)} id-aria128-ccm OID ::= { id-sea aria128-ccm(37)} Lee, et al. Expires June 6, 2010 [Page 12] Internet-Draft The ARIA Encryption Algorithm December 2009 id-aria192-ccm OID ::= { id-sea aria192-ccm(38)} id-aria256-ccm OID ::= { id-sea aria256-ccm(39)} id-aria128-kw OID ::= { id-sea aria128-kw(40)} id-aria192-kw OID ::= { id-sea aria192-kw(41)} id-aria256-kw OID ::= { id-sea aria256-kw(42)} -- ARIA Key-Wrap with Padding Algorithm (AES version: RFC 5649) id-aria128-kwp OID ::= { id-sea aria128-kwp(43)} id-aria192-kwp OID ::= { id-sea aria192-kwp(44)} id-aria256-kwp OID ::= { id-sea aria256-kwp(45)} AriaModeOfOperation ::= AlgorithmIdentifier { {AriaModeOfOperationAlgorithms} } AriaModeOfOperationAlgorithms ALGORITHM ::= { aria128ecb |aria128cbc |aria128cfb |aria128ofb |aria128ctr | aria192ecb |aria192cbc |aria192cfb |aria192ofb |aria192ctr | aria256ecb |aria256cbc |aria256cfb |aria256ofb |aria256ctr | aria128cmac |aria192cmac |aria256cmac | aria128ocb2 |aria192ocb2 |aria256ocb2 | aria128gcm |aria192gcm |aria256gcm | aria128ccm |aria192ccm |aria256ccm | aria128kw |aria192kw |aria256kw | aria128kwp |aria192kwp |aria256kwp , ... --Extensible } aria128ecb ALGORITHM ::= { OID id-aria128-ecb PARAMS AriaEcbParameters } aria128cbc ALGORITHM ::= { OID id-aria128-cbc PARAMS AriaCbcParameters } aria128cfb ALGORITHM ::= { OID id-aria128-cfb PARAMS AriaCfbParameters } aria128ofb ALGORITHM ::= { OID id-aria128-ofb PARAMS AriaOfbParameters } aria128ctr ALGORITHM ::= { OID id-aria128-ctr PARAMS AriaCtrParameters } aria192ecb ALGORITHM ::= { OID id-aria192-ecb PARAMS AriaEcbParameters } aria192cbc ALGORITHM ::= { OID id-aria192-cbc PARAMS AriaCbcParameters } aria192cfb ALGORITHM ::= { OID id-aria192-cfb PARAMS AriaCfbParameters } Lee, et al. Expires June 6, 2010 [Page 13] Internet-Draft The ARIA Encryption Algorithm December 2009 aria192ofb ALGORITHM ::= { OID id-aria192-ofb PARAMS AriaOfbParameters } aria192ctr ALGORITHM ::= { OID id-aria192-ctr PARAMS AriaCtrParameters } aria256ecb ALGORITHM ::= { OID id-aria256-ecb PARAMS AriaEcbParameters } aria256cbc ALGORITHM ::= { OID id-aria256-cbc PARAMS AriaCbcParameters } aria256cfb ALGORITHM ::= { OID id-aria256-cfb PARAMS AriaCfbParameters } aria256ofb ALGORITHM ::= { OID id-aria256-ofb PARAMS AriaOfbParameters } aria256ctr ALGORITHM ::= { OID id-aria256-ctr PARAMS AriaCtrParameters } aria128cmac ALGORITHM ::= { OID id-aria128-cmac PARAMS AriaCmacParameters } aria192cmac ALGORITHM ::= { OID id-aria192-cmac PARAMS AriaCmacParameters } aria256cmac ALGORITHM ::= { OID id-aria256-cmac PARAMS AriaCmacParameters } aria128ocb2 ALGORITHM ::= { OID id-aria128-ocb2 PARAMS AriaOcb2Parameters } aria192ocb2 ALGORITHM ::= { OID id-aria192-ocb2 PARAMS AriaOcb2Parameters } aria256ocb2 ALGORITHM ::= { OID id-aria256-ocb2 PARAMS AriaOcb2Parameters } aria128gcm ALGORITHM ::= { OID id-aria128-gcm PARAMS AriaGcmParameters } aria192gcm ALGORITHM ::= { OID id-aria192-gcm PARAMS AriaGcmParameters } aria256gcm ALGORITHM ::= { OID id-aria256-gcm PARAMS AriaGcmParameters } aria128ccm ALGORITHM ::= { OID id-aria128-ccm PARAMS AriaCcmParameters } aria192ccm ALGORITHM ::= { OID id-aria192-ccm PARAMS AriaCcmParameters } aria256ccm ALGORITHM ::= { OID id-aria256-ccm PARAMS AriaCcmParameters } aria128kw ALGORITHM ::= { OID id-aria128-kw } aria192kw ALGORITHM ::= { OID id-aria192-kw } aria256kw ALGORITHM ::= { OID id-aria256-kw } Lee, et al. Expires June 6, 2010 [Page 14] Internet-Draft The ARIA Encryption Algorithm December 2009 aria128kwp ALGORITHM ::= { OID id-aria128-kwp } aria192kwp ALGORITHM ::= { OID id-aria192-kwp } aria256kwp ALGORITHM ::= { OID id-aria256-kwp } AriaPadAlgo ::= CHOICE { specifiedPadAlgo RELATIVE-OID, generalPadAlgo OID } AriaEcbParameters ::= SEQUENCE { padAlgo AriaPadAlgo DEFAULT specifiedPadAlgo:id-pad-null } AriaCbcParameters ::= SEQUENCE { m INTEGER DEFAULT 1, -- number of stored ciphertext blocks padAlgo AriaPadAlgo DEFAULT specifiedPadAlgo:id-pad-1 } AriaCfbParameters ::= SEQUENCE { r INTEGER, -- bit-length of feedback buffer, 128<=r<=128*1024 k INTEGER, -- bit-length of feedback variable, 1<=k<=128 j INTEGER, -- bit-length of plaintext/ciphertext block, 1<=j<=k padAlgo AriaPadAlgo DEFAULT specifiedPadAlgo:id-pad-null } AriaOfbParameters ::= SEQUENCE { j INTEGER, -- bit-length of plaintext/ciphertext block, 1<=j<=128 padAlgo AriaPadAlgo DEFAULT specifiedPadAlgo:id-pad-null } AriaCtrParameters ::= SEQUENCE { j INTEGER, -- bit-length of plaintext/ciphertext block, 1<=j<=128 padAlgo AriaPadAlgo DEFAULT specifiedPadAlgo:id-pad-null } AriaCmacParameters ::= INTEGER -- bit-length of authentication tag AriaOcb2Parameters ::= INTEGER -- bit-length of authentication tag Lee, et al. Expires June 6, 2010 [Page 15] Internet-Draft The ARIA Encryption Algorithm December 2009 AriaGcmParameters ::= SEQUENCE { s INTEGER, -- bit-length of starting variable t INTEGER -- bit-length of authentication tag } AriaCcmParameters ::= SEQUENCE { w INTEGER (2|3|4|5|6|7|8), -- length of message length field in octets t INTEGER (32|48|64|80|96|112|128) -- bit-length of authentication tag } ALGORITHM ::= CLASS { &id OBJECT IDENTIFIER UNIQUE, &Type OPTIONAL } WITH SYNTAX { OID &id [PARAMS &Type] } AlgorithmIdentifier { ALGORITHM:AlgoSet } ::= SEQUENCE { algorithm ALGORITHM.&id( {AlgoSet} ), parameters ALGORITHM.&Type( {AlgoSet}{@algorithm} ) OPTIONAL } END Lee, et al. Expires June 6, 2010 [Page 16] Internet-Draft The ARIA Encryption Algorithm December 2009 Authors' Addresses Jungkeun Lee National Security Research Institute P.O.Box 1, Yuseong, Daejeon, 305-350, Korea Email: jklee@ensec.re.kr Jooyoung Lee National Security Research Institute P.O.Box 1, Yuseong, Daejeon, 305-350, Korea Email: jlee05@ensec.re.kr Jaeheon Kim National Security Research Institute P.O.Box 1, Yuseong, Daejeon, 305-350, Korea Email: jaeheon@ensec.re.kr Daesung Kwon National Security Research Institute P.O.Box 1, Yuseong, Daejeon, 305-350, Korea Email: ds_kwon@ensec.re.kr Choonsoo Kim National Security Research Institute P.O.Box 1, Yuseong, Daejeon, 305-350, Korea Email: jbr@ensec.re.kr Lee, et al. Expires June 6, 2010 [Page 17]