311 citations · 1.2k across the 55 of their papers we have counts for
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math.NT2009
Refined Configuration Results for Extremal Type II Lattices of Ranks 40 and 80
Noam D. Elkies, Scott D. Kominers
We show that, if L is an extremal Type II lattice of rank 40 or 80, then L is generated by its vectors of norm min(L)+2. This sharpens earlier results of Ozeki, and the second auth…
math.NT2009★ 6 cited
Every multiple of 4 except 212, 364, 420, and 428 is the sum of seven cubes
Kent D. Boklan, Noam D. Elkies
It is conjectured that every integer N>454 is the sum of seven nonnegative cubes. We prove the conjecture when N is a multiple of 4.
math.NT2009
On the Classification of Type II Codes of Length 24
Noam D. Elkies, Scott D. Kominers
We give a new, purely coding-theoretic proof of Koch's criterion on the tetrad systems of Type II codes of length 24 using the theory of harmonic weight enumerators. This approach…