We consider bounded distance list decoding, such that the decoder calculates the list of all codewords within a sphere around the received vector. We analyze the performance and t...
It has been known since [Zyablov and Pinsker 1982] that a random q-ary code of rate 1 − Hq(ρ) − ε (where 0 < ρ < 1 − 1/q, ε > 0 and Hq(·) is the q-ary entropy ...
The analysis of random coding error exponents pertaining to erasure/list decoding, due to Forney, is revisited. Instead of using Jensen’s inequality as well as some other inequa...