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10/21/2022
Sets of mutually orthogoval projective and affine planes
A pair of planes, both projective or both affine, of the same order and ...
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07/31/2022
Ordered Covering Arrays and Upper Bounds on Covering Codes in NRT spaces
This work shows several direct and recursive constructions of ordered co...
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07/31/2022
Bounds on Covering Codes in RT spaces using Ordered Covering Arrays
In this work, constructions of ordered covering arrays are discussed and...
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07/31/2022
Ordered Orthogonal Array Construction Using LFSR Sequences
We present a new construction of ordered orthogonal arrays (OOA) of stre...
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12/22/2021
Comparing balanced ℤ_v-sequences obtained from ElGamal function to random balanced sequences
In this paper, we investigate the randomness properties of sequences in ...
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03/24/2021
The combinatorial game nofil played on Steiner Triple Systems
We introduce an impartial combinatorial game on Steiner triple systems c...
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03/19/2021
Integer and Constraint Programming Revisited for Mutually Orthogonal Latin Squares
In this paper we provide results on using integer programming (IP) and c...
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12/08/2020
A SAT-based Resolution of Lam's Problem
In 1989, computer searches by Lam, Thiel, and Swiercz experimentally res...
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01/31/2020
Nonexistence Certificates for Ovals in a Projective Plane of Order Ten
In 1983, a computer search was performed for ovals in a projective plane...
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01/31/2020
Unsatisfiability Proofs for Weight 16 Codewords in Lam's Problem
In the 1970s and 1980s, searches performed by L. Carter, C. Lam, L. Thie...
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11/11/2019
A Nonexistence Certificate for Projective Planes of Order Ten with Weight 15 Codewords
Using techniques from the fields of symbolic computation and satisfiabil...
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01/25/2018