On the Asymptotic Normality of Q-ary Linear Codes

Minjia Shi, Olivier Rioul, Patrick Sole
2019 IEEE Communications Letters  
Sidel'nikov proved in 1971 that the weight distribution of long binary codes is asymptotically Gaussian. Delsarte sketched in 1975 an extension of this result to Q-ary codes when Q > 2. In this note, we complete Delsarte's proof.
doi:10.1109/lcomm.2019.2935729 fatcat:dfe2viavq5d3fnb6v7lhu4yfba