แž—แžถแž–แž„แžถแž™แžšแž„แž‚แŸ’แžšแŸ„แŸ‡แž€แŸ’แž“แžปแž„แž€แžถแžšแžขแž“แžปแžœแžแŸ’แžแž€แŸ’แž”แžฝแž“แžŠแŸ„แŸ‡แžŸแŸ’แžšแžถแž™แž€แžถแžšแžขแŸŠแžทแž“แž‚แŸ’แžšแžธแž”แž€แŸ’แžšแŸ„แž™ quantum Kyber

แž“แŸ…แž€แŸ’แž“แžปแž„แž€แžถแžšแžขแž“แžปแžœแžแŸ’แžแž€แŸ’แž”แžฝแž“แžŠแŸ„แŸ‡แžŸแŸ’แžšแžถแž™แž€แžถแžšแžขแŸŠแžทแž“แž‚แŸ’แžšแžธแž” Kyber แžŠแŸ‚แž›แž”แžถแž“แžˆแŸ’แž“แŸ‡แž€แžถแžšแž”แŸ’แžšแž€แžฝแžแž”แŸ’แžšแž‡แŸ‚แž„แž“แŸƒแž€แŸ’แž”แžฝแž“แžŠแŸ„แŸ‡แžŸแŸ’แžšแžถแž™แž‚แŸ’แžšแžธแž”แžŠแŸ‚แž›แž’แž“แŸ‹แž“แžนแž„แž€แž˜แŸ’แž›แžถแŸ†แž„ brute แž“แŸ…แž›แžพแž€แžปแŸ†แž–แŸ’แž™แžผแž‘แŸแžš quantum แž—แžถแž–แž„แžถแž™แžšแž„แž‚แŸ’แžšแŸ„แŸ‡แž˜แžฝแž™แžแŸ’แžšแžผแžœแž”แžถแž“แž‚แŸแž€แŸ†แžŽแžแŸ‹แžขแžแŸ’แžแžŸแž‰แŸ’แž‰แžถแžŽแžŠแŸ‚แž›แžขแž“แžปแž‰แŸ’แž‰แžถแžแžฑแŸ’แž™แž€แžถแžšแžœแžถแž™แž”แŸ’แžšแž แžถแžšแžแžถแž˜แž†แžถแž“แŸ‚แž›แž…แŸ†แž แŸ€แž„แž”แž„แŸ’แž€แžพแžแžŸแŸ„แžŸแž˜แŸ’แž„แžถแžแŸ‹แžกแžพแž„แžœแžทแž‰แžŠแŸ„แž™แž•แŸ’แžขแŸ‚แž€แž›แžพแž€แžถแžšแžœแžถแžŸแŸ‹แžœแŸ‚แž„แž–แŸแž›แžœแŸแž›แžถแž“แŸƒแž”แŸ’แžšแžแžทแž”แžแŸ’แžแžทแž€แžถแžšแž€แŸ†แžกแžปแž„แž–แŸแž›แžŒแžทแž‚แŸ’แžšแžธแž”แŸ” ciphertext แž•แŸ’แžแž›แŸ‹แžŠแŸ„แž™แžขแŸ’แž“แž€แžœแžถแž™แž”แŸ’แžšแž แžถแžšแŸ” แž”แž‰แŸ’แž แžถแž“แŸแŸ‡แž”แŸ‰แŸ‡แž–แžถแž›แŸ‹แžŠแž›แŸ‹แž‘แžถแŸ†แž„แž€แžถแžšแžขแž“แžปแžœแžแŸ’แžแžฏแž€แžŸแžถแžšแž™แŸ„แž„แž“แŸƒแž™แž“แŸ’แžแž€แžถแžšแž”แŸ†แž”แŸ’แž›แŸ‚แž„แž€แžผแž“แžŸแŸ„ CRYSTALS-Kyber KEM แž“แžทแž„แž”แžŽแŸ’แžŽแžถแž›แŸแž™แžขแŸŠแžทแž“แž‚แŸ’แžšแžธแž”แžŠแŸ‚แž›แž”แžพแž€แžŠแŸ†แžŽแžพแžšแž€แžถแžšแžŠแŸ„แž™ Kyber แž—แžถแž‚แžธแž‘แžธแž”แžธแž‡แžถแž…แŸ’แžšแžพแž“ แžšแžฝแž˜แž‘แžถแŸ†แž„แž”แžŽแŸ’แžŽแžถแž›แŸแž™ pqcrypto แžŠแŸ‚แž›แž”แŸ’แžšแžพแž€แŸ’แž“แžปแž„แž€แž˜แŸ’แž˜แžœแžทแž’แžธแž•แŸ’แž‰แžพแžŸแžถแžšแŸ”

แžแŸ’แž›แžนแž˜แžŸแžถแžšแž“แŸƒแž—แžถแž–แž„แžถแž™แžšแž„แž‚แŸ’แžšแŸ„แŸ‡แžŠแŸ‚แž›แž”แžถแž“แž‘แž‘แžฝแž›แžˆแŸ’แž˜แŸ„แŸ‡แž€แžผแžŠ KyberSlash แž‚แžบแž“แŸ…แž€แŸ’แž“แžปแž„แž€แžถแžšแž”แŸ’แžšแžพแž”แŸ’แžšแžถแžŸแŸ‹แž”แŸ’แžšแžแžทแž”แžแŸ’แžแžทแž€แžถแžšแž•แŸ’แž“แŸ‚แž€ โ€œt = (((t< 1) + KYBER_Q/2)/KYBER_Q) & 1;โ€ แž“แŸ…แž€แŸ’แž“แžปแž„แžŠแŸ†แžŽแžพแžšแž€แžถแžšแž“แŸƒแž€แžถแžšแžŒแžทแž€แžผแžŠแžŸแžถแžšแŸ” แžŠแŸ‚แž›แž€แŸ’แž“แžปแž„แž“แŸ„แŸ‡แž—แžถแž‚แž›แžถแž—แž˜แžถแž“แžแž˜แŸ’แž›แŸƒแžŸแž˜แŸ’แž„แžถแžแŸ‹ "t" แž‡แžถแž˜แžฝแž™แž”แŸ’แžšแž—แŸแž‘ "แž‘แŸ’แžœแŸแžšแžŠแž„" แž แžพแž™แž•แŸ’แž“แŸ‚แž€แž”แŸ‚แž„แž…แŸ‚แž€แž‚แžบแž‡แžถแžแž˜แŸ’แž›แŸƒแžŸแžถแž’แžถแžšแžŽแŸˆแžŠแŸแž›แŸ’แž”แžธแž›แŸ’แž”แžถแž‰ KYBER_Q แŸ” แž”แž‰แŸ’แž แžถแž‚แžบแžแžถแž–แŸแž›แžœแŸแž›แžถแž“แŸƒแž”แŸ’แžšแžแžทแž”แžแŸ’แžแžทแž€แžถแžšแž•แŸ’แž“แŸ‚แž€แž˜แžทแž“แžแŸแžš แž แžพแž™แž“แŸ…แž€แŸ’แž“แžปแž„แž”แžšแžทแž™แžถแž€แžถแžŸแž•แŸ’แžŸแŸแž„แŸ—แž‚แŸ’แž“แžถ แž…แŸ†แž“แžฝแž“แž“แŸƒแžœแžŠแŸ’แžแžŸแŸŠแžธแž—แžธแž™แžผแžŠแŸ‚แž›แž”แžถแž“แžขแž“แžปแžœแžแŸ’แžแžŸแž˜แŸ’แžšแžถแž”แŸ‹แž€แžถแžšแž”แŸ‚แž„แž…แŸ‚แž€แž‚แžบแžขแžถแžŸแŸ’แžšแŸแž™แž›แžพแž‘แžทแž“แŸ’แž“แž“แŸแž™แž”แž‰แŸ’แž…แžผแž›แŸ” แžŠแžผแž…แŸ’แž“แŸแŸ‡แžŠแŸ„แž™แž•แŸ’แžขแŸ‚แž€แž›แžพแž€แžถแžšแž•แŸ’แž›แžถแžŸแŸ‹แž”แŸ’แžแžผแžšแž–แŸแž›แžœแŸแž›แžถแž”แŸ’แžšแžแžทแž”แžแŸ’แžแžทแž€แžถแžšแž˜แž“แžปแžŸแŸ’แžŸแž˜แŸ’แž“แžถแž€แŸ‹แžขแžถแž…แž‘แž‘แžฝแž›แž”แžถแž“แž‚แŸ†แž“แžทแžแž“แŸƒแž’แž˜แŸ’แž˜แž‡แžถแžแžทแž“แŸƒแž‘แžทแž“แŸ’แž“แž“แŸแž™แžŠแŸ‚แž›แž”แžถแž“แž”แŸ’แžšแžพแž€แŸ’แž“แžปแž„แž€แžถแžšแž”แŸ‚แž„แž…แŸ‚แž€แŸ”

Daniel J. Bernstein แžŠแŸ‚แž›แž‡แžถแžขแŸ’แž“แž€แž‡แŸ†แž“แžถแž‰แžŠแŸแž›แŸ’แž”แžธแžแžถแž„แž•แŸ’แž“แŸ‚แž€แž‚แŸ’แžšแžธแž”แž‚แŸ’แžšแžธแž” แžขแžถแž…แžšแŸ€แž”แž…แŸ†แž€แžถแžšแž”แž„แŸ’แž แžถแž‰แž–แžธแž—แžŸแŸ’แžแžปแžแžถแž„แžŠแŸ‚แž›แžแžถแž€แžถแžšแžœแžถแž™แž”แŸ’แžšแž แžถแžšแžขแžถแž…แžแŸ’แžšแžผแžœแž”แžถแž“แžขแž“แžปแžœแžแŸ’แžแž“แŸ…แž€แŸ’แž“แžปแž„แž€แžถแžšแžขแž“แžปแžœแžแŸ’แžแŸ” แž“แŸ…แž€แŸ’แž“แžปแž„แž€แžถแžšแž–แžทแžŸแŸ„แž’แž“แŸแž–แžธแžšแž€แŸ’แž“แžปแž„แž…แŸ†แžŽแŸ„แž˜แž€แžถแžšแž–แžทแžŸแŸ„แž’แž“แŸแž‘แžถแŸ†แž„แž”แžธแžŠแŸ‚แž›แž”แžถแž“แž’แŸ’แžœแžพแžกแžพแž„ แž“แŸ…แž–แŸแž›แžŠแŸ†แžŽแžพแžšแž€แžถแžšแž€แžผแžŠแž“แŸ…แž›แžพแž”แž“แŸ’แž‘แŸ‡ Raspberry Pi 2 แžœแžถแžขแžถแž…แž”แž„แŸ’แž€แžพแžแžกแžพแž„แžœแžทแž‰แž‘แžถแŸ†แž„แžŸแŸ’แžšแžปแž„แž“แžผแžœแžŸแŸ„แžฏแž€แž‡แž“ Kyber-512 แžŠแŸ„แž™แž•แŸ’แžขแŸ‚แž€แž›แžพแž€แžถแžšแžœแžถแžŸแŸ‹แžœแŸ‚แž„แž–แŸแž›แžœแŸแž›แžถแž“แŸƒแž€แžถแžšแžŒแžทแž€แžผแžŠแž‘แžทแž“แŸ’แž“แž“แŸแž™แŸ” แžœแžทแž’แžธแžŸแžถแžŸแŸ’แžแŸ’แžšแž“แŸแŸ‡แž€แŸแžขแžถแž…แžแŸ’แžšแžผแžœแž”แžถแž“แž€แŸ‚แžŸแž˜แŸ’แžšแžฝแž›แžŸแž˜แŸ’แžšแžถแž”แŸ‹แžŸแŸ„ Kyber-768 แž“แžทแž„ Kyber-1024 แž•แž„แžŠแŸ‚แžšแŸ” แžŠแžพแž˜แŸ’แž”แžธแžขแž“แžปแžœแžแŸ’แžแž€แžถแžšแžœแžถแž™แž”แŸ’แžšแž แžถแžšแžŠแŸ„แž™แž‡แŸ„แž‚แž‡แŸแž™ แžœแžถแž…แžถแŸ†แž”แžถแž…แŸ‹แžŠแŸ‚แž›แžขแž€แŸ’แžŸแžšแžŸแž˜แŸ’แž„แžถแžแŸ‹แžŠแŸ‚แž›แž”แž‰แŸ’แž‡แžถแž€แŸ‹แžŠแŸ„แž™แžขแŸ’แž“แž€แžœแžถแž™แž”แŸ’แžšแž แžถแžšแžแŸ’แžšแžผแžœแž”แžถแž“แžŠแŸ†แžŽแžพแžšแž€แžถแžšแžŠแŸ„แž™แž”แŸ’แžšแžพแž‚แžผแžŸแŸ„แžŠแžผแž…แž‚แŸ’แž“แžถ แž แžพแž™แž–แŸแž›แžœแŸแž›แžถแž”แŸ’แžšแžแžทแž”แžแŸ’แžแžทแž“แŸƒแž”แŸ’แžšแžแžทแž”แžแŸ’แžแžทแž€แžถแžšแžขแžถแž…แžแŸ’แžšแžผแžœแž”แžถแž“แžœแžถแžŸแŸ‹แžœแŸ‚แž„แž™แŸ‰แžถแž„แžแŸ’แžšแžนแž˜แžแŸ’แžšแžผแžœแŸ”

แž€แžถแžšแž›แŸแž…แž’แŸ’แž›แžถแž™แž˜แžฝแž™แž‘แŸ€แž (KyberSlash2) แžแŸ’แžšแžผแžœแž”แžถแž“แž€แŸ†แžŽแžแŸ‹แžขแžแŸ’แžแžŸแž‰แŸ’แž‰แžถแžŽแž“แŸ…แž€แŸ’แž“แžปแž„แž”แžŽแŸ’แžŽแžถแž›แŸแž™แž˜แžฝแž™แž…แŸ†แž“แžฝแž“ แžŠแŸ‚แž›แž€แžพแžแžกแžพแž„แž•แž„แžŠแŸ‚แžšแžŠแŸ„แž™แžŸแžถแžšแžแŸ‚แž€แžถแžšแž”แŸ’แžšแžพแž”แŸ’แžšแžถแžŸแŸ‹แžแž˜แŸ’แž›แŸƒแžŸแž˜แŸ’แž„แžถแžแŸ‹แž“แŸ…แž–แŸแž›แžขแž“แžปแžœแžแŸ’แžแž€แžถแžšแž”แŸ‚แž„แž…แŸ‚แž€แŸ” แž—แžถแž–แžแžปแžŸแž‚แŸ’แž“แžถแž–แžธแž‡แž˜แŸ’แžšแžพแžŸแžŠแŸ†แž”แžผแž„แž˜แž€แž›แžพแž€แžถแžšแž แŸ…แž‘แžผแžšแžŸแž–แŸ’แž‘แž“แŸ…แžŠแŸ†แžŽแžถแž€แŸ‹แž€แžถแž›แžขแŸŠแžทแž“แž‚แŸ’แžšแžธแž” (แž“แŸ…แž€แŸ’แž“แžปแž„แž˜แžปแžแž„แžถแžš poly_compress แž“แžทแž„ polyvec_compress) แž แžพแž™แž˜แžทแž“แž˜แŸ‚แž“แž€แŸ†แžกแžปแž„แž–แŸแž›แžŒแžทแž‚แŸ’แžšแžธแž”แž‘แŸแŸ” แž‘แŸ„แŸ‡แž‡แžถแž™แŸ‰แžถแž„แžŽแžถแž€แŸแžŠแŸ„แž™ แž‡แž˜แŸ’แžšแžพแžŸแž‘แžธแž–แžธแžšแžขแžถแž…แž˜แžถแž“แž”แŸ’แžšแž™แŸ„แž‡แž“แŸแžŸแž˜แŸ’แžšแžถแž”แŸ‹แž€แžถแžšแžœแžถแž™แž”แŸ’แžšแž แžถแžšแžแŸ‚แž€แŸ’แž“แžปแž„แž€แžšแžŽแžธแžŠแŸ‚แž›แž“แžธแžแžทแžœแžทแž’แžธแžแŸ’แžšแžผแžœแž”แžถแž“แž”แŸ’แžšแžพแž€แŸ’แž“แžปแž„แž”แŸ’แžšแžแžทแž”แžแŸ’แžแžทแž€แžถแžšแžขแŸŠแžทแž“แž‚แŸ’แžšแžธแž”แžกแžพแž„แžœแžทแž‰ แžŠแŸ‚แž›แž›แž‘แŸ’แž’แž•แž›แž“แŸƒแžขแžแŸ’แžแž”แž‘แžŸแž˜แŸ’แž„แžถแžแŸ‹แžแŸ’แžšแžผแžœแž”แžถแž“แž…แžถแžแŸ‹แž‘แžปแž€แžแžถแž‡แžถแž€แžถแžšแžŸแž˜แŸ’แž„แžถแžแŸ‹แŸ”

แž—แžถแž–แž„แžถแž™แžšแž„แž‚แŸ’แžšแŸ„แŸ‡แžแŸ’แžšแžผแžœแž”แžถแž“แž‡แžฝแžŸแž‡แžปแž›แžšแžฝแž…แž แžพแž™แž“แŸ…แž€แŸ’แž“แžปแž„แž”แžŽแŸ’แžŽแžถแž›แŸแž™แŸ–

  • zig/lib/std/crypto/kyber_d00.zig (แžแŸ’แž„แŸƒแž‘แžธ 22 แžแŸ‚แž’แŸ’แž“แžผ),
  • pq-crystals/kyber/ref (แžแŸ’แž„แŸƒแž‘แžธ แŸฃแŸ  แžแŸ‚แž’แŸ’แž“แžผ),
  • symbolicsoft/kyber-k2so (แžแŸ’แž„แŸƒแž‘แžธ 19 แžแŸ‚แž’แŸ’แž“แžผ),
  • cloudflare/circl (แŸจ แž˜แž€แžšแžถ),
  • aws/aws-lc/crypto/kyber (4 แž˜แž€แžšแžถ),
  • liboqs/src/kem/kyber (8 แž˜แž€แžšแžถ) แŸ”

แž”แžŽแŸ’แžŽแžถแž›แŸแž™แž˜แžทแž“แžแŸ’แžšแžผแžœแž”แžถแž“แž”แŸ‰แŸ‡แž–แžถแž›แŸ‹แžŠแŸ†แž”แžผแž„แžกแžพแž™แžŠแŸ„แž™แž—แžถแž–แž„แžถแž™แžšแž„แž‚แŸ’แžšแŸ„แŸ‡แŸ–

  • boringssl/crypto/kyber,
  • filippo.io/mlkem768,
  • formosa-crypto/libjade/tree/main/src/crypto_kem,
  • kyber/common/amd64/avx2,
  • formosa-crypto/libjade/tree/main/src/crypto_kem/kyber/common/amd64/ref,
  • pq-crystals/kyber/avx2,
  • pqclean/crypto_kem/kyber*/avx2.

แž—แžถแž–แž„แžถแž™แžšแž„แž‚แŸ’แžšแŸ„แŸ‡แž“แŸ…แžแŸ‚แž˜แžทแž“แžแŸ’แžšแžผแžœแž”แžถแž“แž‡แžฝแžŸแž‡แžปแž›แž“แŸ…แž€แŸ’แž“แžปแž„แž”แžŽแŸ’แžŽแžถแž›แŸแž™แŸ–

  • antontutoweanu/crystals-kyber-javascript,
  • Argyle-Software/kyber,
  • debian/src/liboqs/unstable/src/kem/kyber,
  • kudelskisecurity/crystals-go,
  • mupq/pqm4/crypto_kem/kyber* (แž“แŸ…แžแŸ’แž„แŸƒแž‘แžธ 20 แžแŸ‚แž’แŸ’แž“แžผ แž—แžถแž–แž„แžถแž™แžšแž„แž‚แŸ’แžšแŸ„แŸ‡แž˜แžถแž“แžแŸ‚แž€แŸ†แžŽแŸ‚ 1 แžแŸ’แžšแžผแžœแž”แžถแž“แž‡แžฝแžŸแž‡แžปแž›)
  • PQClean/PQClean/crypto_kem/kyber*/aarch64,
  • PQClean/PQClean/crypto_kem/kyber*/clean,
  • randombit/botan (แž“แŸ…แžแŸ’แž„แŸƒแž‘แžธ 20 แžแŸ‚แž’แŸ’แž“แžผ แž—แžถแž–แž„แžถแž™แžšแž„แž‚แŸ’แžšแŸ„แŸ‡แžแŸ‚แž˜แžฝแž™แž‚แžแŸ‹แžแŸ’แžšแžผแžœแž”แžถแž“แž‡แžฝแžŸแž‡แžปแž›)
  • rustpq/pqcrypto/pqcrypto-kyber (แž€แžถแžšแž‡แžฝแžŸแž‡แžปแž›แžแŸ’แžšแžผแžœแž”แžถแž“แž”แž“แŸ’แžแŸ‚แž˜แž‘แŸ… libsignal แž“แŸ…แžแŸ’แž„แŸƒแž‘แžธ 5 แžแŸ‚แž˜แž€แžšแžถ แž”แŸ‰แžปแž“แŸ’แžแŸ‚แž—แžถแž–แž„แžถแž™แžšแž„แž‚แŸ’แžšแŸ„แŸ‡แž˜แžทแž“แž‘แžถแž“แŸ‹แžแŸ’แžšแžผแžœแž”แžถแž“แž‡แžฝแžŸแž‡แžปแž›แž“แŸ…แž€แŸ’แž“แžปแž„ pqcrypto-kyber แžแŸ’แž›แžฝแž“แžœแžถแž‘แŸ)แŸ”

แž”แŸ’แžšแž—แž–: opennet.ru

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