A q-ary error-correcting code C ⊆ {1, 2, . . . , q}n is said to be list decodable to radius ρ with list size L if every Hamming ball of radius ρ contains at most L codewords o...
Very few public-key cryptosystems are known that can encrypt and decrypt in time b2+o(1) with conjectured security level 2b against conventional computers and quantum computers. Th...
Daniel J. Bernstein, Tanja Lange, Christiane Peter...
We study the complexity of locally list-decoding binary error correcting codes with good parameters (that are polynomially related to information theoretic bounds). We show that co...
We present error-correcting codes that achieve the information-theoretically best possible trade-off between the rate and error-correction radius. Specifically, for every 0 < R...
We propose an algorithm which is an improved version of the Kabatiansky-Tavernier list decoding algorithm for the second order binary Reed-Muller code RM(2, m), of length n = 2m , ...