New Data Seal

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New Data Seal
General
First published	1975
Derived from	Lucifer
Cipher detail
Key sizes	2048 bits
Block sizes	128 bits
Structure	Feistel network
Rounds	16
Best public cryptanalysis
Grossman & Tuckerman's slide attack uses at most 2¹² chosen plaintexts

In cryptography, New Data Seal (NDS) is a block cipher that was designed at IBM in 1975, based on the Lucifer algorithm that became DES.

The cipher uses a block size of 128 bits, and a very large key size of 2048 bits. Like DES it has a 16-round Feistel network structure. The round function uses two fixed 4×4-bit S-boxes, chosen to be non-affine. The key is also treated as an 8×8-bit lookup table, using the first bit of each of the 8 bytes of the half-block as input. The nth bit of the output of this table determines whether or not the two nibbles of the nth byte are swapped after S-box substitution. All rounds use the same table. Each round function ends with a fixed permutation of all 64 bits, preventing the cipher from being broken down and analyzed as a system of simpler independent subciphers.

In 1977, Edna Grossman and Bryant Tuckerman cryptanalyzed NDS using the first known slide attack. This method uses no more than 4096 chosen plaintexts; in their best trial they recovered the key with only 556 chosen plaintexts.

References

Henry Beker & Fred Piper (1982). Cipher Systems: The Protection of Communications. John Wiley & Sons. pp. 263–267. ISBN 0-471-89192-4.
D.C. Hankerson; Gary Hoffman; D.A. Leonard; Charles C. Lindner; K.T. Phelps; Christopher A. Rodger; J.R. Wall (2000). Coding Theory and Cryptography: The Essentials (2nd ed.). CRC Press. pp. 240–242. ISBN 0-8247-0465-7.

v t e Block ciphers (security summary)
Common algorithms	AES Blowfish DES (internal mechanics, Triple DES) Serpent SM4 Twofish
Less common algorithms	ARIA Camellia CAST-128 GOST IDEA LEA RC5 RC6 SEED Skipjack TEA XTEA
Other algorithms	3-Way Adiantum Akelarre Anubis Ascon BaseKing BassOmatic BATON BEAR and LION CAST-256 Chiasmus CIKS-1 CIPHERUNICORN-A CIPHERUNICORN-E CLEFIA CMEA Cobra COCONUT98 Crab Cryptomeria/C2 CRYPTON CS-Cipher DEAL DES-X DFC E2 FEAL FEA-M FROG G-DES Grand Cru Hasty Pudding cipher Hierocrypt ICE IDEA NXT Intel Cascade Cipher Iraqi Kalyna KASUMI KeeLoq KHAZAD Khufu and Khafre KN-Cipher Kuznyechik Ladder-DES LOKI (97, 89/91) Lucifer M6 M8 MacGuffin Madryga MAGENTA MARS Mercy MESH MISTY1 MMB MULTI2 MultiSwap New Data Seal NewDES Nimbus NOEKEON NUSH PRESENT Prince Q RC2 REDOC Red Pike S-1 SAFER SAVILLE SC2000 SHACAL SHARK Simon Speck Spectr-H64 Square SXAL/MBAL Threefish Treyfer UES xmx XXTEA Zodiac
Design	Feistel network Key schedule Lai–Massey scheme Product cipher S-box P-box SPN Confusion and diffusion Round Avalanche effect Block size Key size Key whitening (Whitening transformation)
Attack (cryptanalysis)	Brute-force (EFF DES cracker) MITM Biclique attack 3-subset MITM attack Linear (Piling-up lemma) Differential Impossible Truncated Higher-order Differential-linear Distinguishing (Known-key) Integral/Square Boomerang Mod n Related-key Slide Rotational Side-channel Timing Power-monitoring Electromagnetic Acoustic Differential-fault XSL Interpolation Partitioning Rubber-hose Black-bag Davies Rebound Weak key Tau Chi-square Time/memory/data tradeoff
Standardization	AES process CRYPTREC NESSIE NSA Suite B CNSA
Utilization	Initialization vector Mode of operation Padding

v t e Cryptography
General	History of cryptography Outline of cryptography Classical cipher Cryptographic protocol Authentication protocol Cryptographic primitive Cryptanalysis Cryptocurrency Cryptosystem Cryptographic nonce Cryptovirology Hash function Cryptographic hash function Key derivation function Secure Hash Algorithms Digital signature Kleptography Key (cryptography) Key exchange Key generator Key schedule Key stretching Keygen Machines Cryptojacking malware Ransomware Random number generation Cryptographically secure pseudorandom number generator (CSPRNG) Pseudorandom noise (PRN) Secure channel Insecure channel Subliminal channel Encryption Decryption End-to-end encryption Harvest now, decrypt later Information-theoretic security Plaintext Codetext Ciphertext Shared secret Trapdoor function Trusted timestamping Key-based routing Onion routing Garlic routing Kademlia Mix network
Mathematics	Cryptographic hash function Block cipher Stream cipher Symmetric-key algorithm Authenticated encryption Public-key cryptography Quantum key distribution Quantum cryptography Post-quantum cryptography Message authentication code Random numbers Steganography
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