Looking for good Hofmeister and Braunschadel bases

Abstract

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 has become known as the "global" Postage Stamp Problem. This paper describes the author's early attempts to identify extremal Hofmeister and Braunschadel bases for large t (where t = 12h + r for some 0 <= r <= 11), and also includes a transcription of Prof. Selmer's correspondence with the author about this work which has not been published before. See (Selmer, E.S., Private Communication, [8], 1992/1993).