311 citations · 1.2k across the 55 of their papers we have counts for
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math.NT2003★ 13 cited
Still better nonlinear codes from modular curves
Noam D. Elkies
We give a new construction of nonlinear error-correcting codes over suitable finite fields k from the geometry of modular curves with many rational points over k, combining two rec…
math.NT2003★ 22 cited
The conjugate dimension of algebraic numbers
Neil Berry, Arturas Dubickas, Noam D. Elkies +2
We find sharp upper and lower bounds for the degree of an algebraic number in terms of the -dimension of the space spanned by its conjugates. For all but seven nonnegative integ…