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math.NT2011
Weighted Generating Functions for Type II Lattices and Codes
Noam D. Elkies, Scott Duke Kominers
We give a new structural development of harmonic polynomials on Hamming space, and harmonic weight enumerators of binary linear codes, that parallels one approach to harmonic polyn…
math.NT2011★ 3 cited
Minimal S-universality criteria may vary in size
Noam D. Elkies, Daniel M. Kane, Scott D. Kominers
In this note, we give simple examples of sets S of quadratic forms that have minimal S-universality criteria of multiple cardinalities. This answers a question of Kim, Kim, and Oh…