Title :
Multinomial representation of majority logic coding
Author :
Moore, John B. ; Tan, Keng T.
Author_Institution :
Res. Sch. of Info. Sci. & Eng., Australian Nat. Univ., Canberra, ACT
Abstract :
Multinomial representations are derived for majority logic operations on bipolar binary data. The coefficients are given simply in terms of the readily computed lower Cholesky factor of Pascal matrices of order n for codes of block length n
Keywords :
majority logic; matrix decomposition; nonlinear codes; Cholesky factor; Pascal matrices; bipolar binary data; majority logic coding; multinomial representation; Australia; Block codes; Communication systems; Context; Decoding; Information science; Logic functions; System performance; Vectors; Voting;
Conference_Titel :
Information Theory, 2005. ISIT 2005. Proceedings. International Symposium on
Conference_Location :
Adelaide, SA
Print_ISBN :
0-7803-9151-9
DOI :
10.1109/ISIT.2005.1523368