Notes on Symmetric Bases

Michael Farinton Challis · arXiv (Cornell University) · 2014

A_k = {1, a_2, ... a_k} is an h-basis for n if every positive integer not exceeding n can be expressed as the sum of no more than h values a_i. An extremal h-basis A_k is one for which n is as large as possible. Computing extremal bases is known as the Postage Stamp Problem. A basis A_k is symmetric if A_k = {1, a_2, ... a_k} where a_i + a_(k-i) = a_k for 1=h_1.

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