Ternary Golay code information

In coding theory, the ternary Golay codes are two closely related error-correcting codes. The code generally known simply as the ternary Golay code is...

binary Golay code is a type of linear error-correcting code used in digital communications. The binary Golay code, along with the ternary Golay code, has...

a data structure in computer science Ternary Golay code, a perfect [11, 6, 5] ternary linear code ?:, a ternary conditional operator used for basic conditional...

Golay code may refer to: Binary Golay code, an error-correcting code used in digital communications Ternary Golay code (Golay) complementary sequences...

function for the Mathieu group M12 and ternary Golay code as the Miracle Octad Generator does for M24 and binary Golay code, respectively. Instead of using a...

filter Binary Golay code, an error-correcting code Ternary Golay code, an error-correcting code Places: Golay, Kutch, a village in Kutch, Gujarat, India This...

{\displaystyle (23,12)} binary Golay code over G F ( 2 ) {\displaystyle GF(2)} and the ( 11 , 6 ) {\displaystyle (11,6)} ternary Golay code over G F ( 3 ) {\displaystyle...

of constacyclic codes. BCH code Binary Golay code Cyclic redundancy check Eugene Prange Reed–Muller code Ternary Golay code Van Lint 1998, p. 76 Van Lint...

'1's of any codeword of the Golay code, and the '∓3' can appear in any position. The ternary Golay code, binary Golay code and Leech lattice give very...

1, 2r – 1 – r, 3), and the [23,12,7] binary and [11,6,5] ternary Golay codes. Another code property is the number of neighbors that a single codeword...

(also called maximum length sequences or M-sequences) Ternary Golay code (Error-correcting code) Walsh-Hadamard sequences Zadoff–Chu sequence Donato,...

code is a sequence of dual Hamming codes. Some examples of linear codes include: Repetition codes Parity codes Cyclic codes Hamming codes Golay code,...

of the perfect ternary Golay code (Virtakallio-Golay code). At the same time, it is established that a static WA (i.e. weighting code) with the same parameters...

Prakash, Shiroman (September 2020). "Magic state distillation with the ternary Golay code". Proceedings of the Royal Society A: Mathematical, Physical and Engineering...

This is a list of algebraic coding theory topics....

cover 2.M12 is the automorphism group of the extended ternary Golay code, a dimension 6 length 12 code over the field of order 3 of minimum weight 6. In particular...

22+12:(A8 × S3) 24+12.(S3 × 3.S6) 32.U4(3).D8 36:2.M12 (holomorph of ternary Golay code) (A5 × J2):2 in Suzuki chain 31+4:2.PSp4(3).2 (A6 × U3(3)).2 in Suzuki...

J. J. (1973), "A strongly regular graph derived from the perfect ternary Golay code", A Survey of Combinatorial Theory (Proc. Internat. Sympos., Colorado...

J. J. (1973), "A strongly regular graph derived from the perfect ternary Golay code", A Survey of Combinatorial Theory (Proc. Internat. Sympos., Colorado...

octads from code words of Hamming weight 8 from the extended binary Golay code, one of five different Hamming weights the extended binary Golay code uses: 0...

linear codes. There are other, subtler relationships between Euclidean sphere packing and error-correcting codes. For example, the binary Golay code is closely...