(linear or nonlinear) using maximum likelihood decoding is studied on

binary erasure channels (BECs) with arbitrary erasure probability

a concatenation of several Hadamard linear codes, is proven to perform

better (in the sense of average error probability with respect to

maximum-likelihood decoding) than all other

values of the blocklength

noted that the family of fair linear codes and the family of

nonlinear weak flip codes

under certain blocklengths. However, the fair nonlinear weak flip

codes actually outperform the fair linear codes, i.e., linearity and

global optimality cannot be simultaneously achieved for the number of

codewords being

channel coding,

-||- _|_ _|_ / __|__ Stefan M. Moser

[-] --__|__ /__\ /__ Senior Scientist, ETH Zurich, Switzerland

_|_ -- --|- _ / / Adjunct Professor, National Yang Ming Chiao Tung University, Taiwan

/ \ [] \| |_| / \/ Web: https://moser-isi.ethz.ch/

Last modified: Thu Apr 9 10:30:54 UTC+8 2015