52 research outputs found
Super-simple directed designs and their smallest defining sets with its application in LDPC codes
In this paper, we show that for all (mod 5) and ,
there exists a super-simple directed design, also for these
parameters there exists a super-simple directed design such that its
smallest defining sets contain at least half of its blocks. Also, we show that
these designs are useful in constructing parity-check matrices of LDPC codes.Comment: arXiv admin note: substantial text overlap with arXiv:1508.0009
Selected Papers in Combinatorics - a Volume Dedicated to R.G. Stanton
Professor Stanton has had a very illustrious career. His contributions to mathematics are varied and numerous. He has not only contributed to the mathematical literature as a prominent researcher but has fostered mathematics through his teaching and guidance of young people, his organizational skills and his publishing expertise. The following briefly addresses some of the areas where Ralph Stanton has made major contributions
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