Published December 18, 2025
| Version v1
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MATRITSALI AKSLANTIRISHLARNING KRIPTOGRAFIK ALGORITMLARDA QO'LLANILISHI
Authors/Creators
- 1. "Yosh chegarachilar" harbiy akademik litseyi kafedra mudiri, Termiz, O'zbekiston
Description
Matritsali akslantirishlar zamonaviy kriptografik algoritmlarning asosiy mexanizmlaridan biridir. Ular diffuziya kuchini oshirish, chiziqlilikka qarshi himoya yaratish, panjara asosidagi ochiq kalitli sxemalarda murakkab strukturalarni shakllantirish va oqimli shifrlarda ichki holat evolyutsiyasini matematik tarzda ifodalashda muhim rol o'ynaydi. Ushbu maqolada matritsali akslantirishlarning nazariy asoslari, blok va oqimli shifrlarda tutgan o'rni, MDS-matritsalar konstruktsiyasi, shuningdek, panjara kriptotizimlaridagi bazis matritsalarning kriptografik ahamiyati chuqur tahlil qilinadi.
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References
- L. Hill, "Cryptography in an Algebraic Context," American Mathematical Monthly, 1929.
- S. Lin and D. J. Costello, Error Control Coding, Prentice Hall, 2004.
- J. Daemen and V. Rijmen, The Design of Rijndael: AES - The Advanced Encryption Standard, Springer, 2002.
- National Institute of Standards and Technology (NIST), "FIPS-197: Advanced Encryption Standard (AES)," 2001.
- T. Berger et al., "Dyadic MDS Matrices," IEEE Trans. Inf. Theory, 2005.
- S. Duval et al., "Lightweight MDS Matrices," IACR Cryptology ePrint Archive, 2016.
- B. Preneel et al., "Wide Trail Strategy and MDS Structures in Block Ciphers," FSE, 1997.
- J. Massey, "Shift-Register Synthesis and BCH Decoding," IEEE Trans. Inf. Theory, 1969.
- O. Regev, "On Lattices, Learning with Errors, and Cryptography," STOC, 2005.
- D. Micciancio and S. Goldwasser, Complexity of Lattice Problems, Springer, 2002.
- N. Howgrave-Graham, "Lattice-Related Cryptanalysis," IACR School, 2007.