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- W144414465 abstract "In this thesis a heuristic method for factoring semiprimes by multiagent depth-limited search of PG 2 N graphs is presented. An analysis of PG 2 N graph connectivity is used to generate heuristics for multiagent search. Further analysis is presented including the requirements on choosing prime numbers to generate ’hard’ semiprimes; the lack of connectivity in PG 1 N graphs; the counts of spanning trees inPG 2 N graphs; the upper boundof aPG 2 N graph diameter and a conjecture on the frequency distribution of prime numbers on Hamming distance. We further demonstrated the feasibility of the HD2 breadth first search of PG 2 N graphs for factoring small semiprimes. We presented the performance of different multiagent search heuristics in PG 2 N graphs showing that the heuristic of most connected seedpick outperforms least connected or random connected seedpick heuristics on small PG 2 N graphs of sizeN ≤ 26. The contribution of this small scale research was to develop heuristics for seed selection that may extrapolate to larger values ofN ." @default.
- W144414465 created "2016-06-24" @default.
- W144414465 creator A5061973787 @default.
- W144414465 date "2000-01-01" @default.
- W144414465 modified "2023-09-25" @default.
- W144414465 title "Factoring Semiprimes Using PG2N Prime Graph Multiagent Search" @default.
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- W144414465 doi "https://doi.org/10.15760/etd.219" @default.
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