Jonathan Mosheiff
Senior Academic
On the weight distribution of random binary linear codes
We investigate the weight distribution of random binary linear codes. For 0 < λ < 1 and n→∞ pick uniformly at random λn vectors in (Formula presented.) and let (Formula presented.) be the orthogonal complement of their span. Given 0 < γ < 1/2 with 0 < λ < h(γ) let X be the random variable that counts the number of words in C of Hamming weight γn. In this paper we determine the asymptotics of the moments of X of all orders (Formula presented.).
| Publication language | English |
| Pages | 5-36 |
| Journal | Random Structures and Algorithms |
| Volume | 56 |
| Issue number | 1 |
| Publication status | Published - 01.01.2020 |
Keywords
exponential family
random linear code
weight distribution
ASJC Scopus subject areas
Software
General Mathematics
Computer Graphics and Computer-Aided Design
Applied Mathematics
