[seqfan] binary linear codes and orthogonal lattices

[Андрей Заболотский]

Dear Seqfans,

The known terms of  A007669 "Number of orthogonal lattices in dimension n" match the first terms of  A034343 "Number of inequivalent binary linear codes of length n and any dimension k <= n containing no column of zeros". Could they actually be the same sequence?
Theorem 4.1.1 of a dissertation  https://www.cs.purdue.edu/homes/vgandiko/papers/thesis.pdf  states some correspondence between some orthogonal lattices and binary linear codes, but I'm not sure if it is relevant.


Andrey Zabolotskiy