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Fast Minimal Distance Enumeration of Small Combinations
Technical documentation   Open access

Fast Minimal Distance Enumeration of Small Combinations

William L. Steiger and P. M. Neuss
Rutgers University
1982
DOI:
https://doi.org/10.7282/T3JQ14GM

Abstract

Combinations Pointers Constant weight codes Hamiltonian circuits on the N-cube Binomial coefficients
We give a history dependent algorithm that satisfies the claims of the title. It has other desirable attributes as well. It is computationally much simpler than algorithms studied in recent work of Payne and Ives when, in enumerating n objects k at a time, k is small compared to n. In fact SN(n,k) decreases n -* - where SN denotes the complexity of the present method and PI , that of Payne-Ives. This is probably due to the savings in overhead required by history less enumeration.
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