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math.CO2017
A family of group divisible designs with arbitrary block sizes
Yu-pei Huang, Chia-an Liu, Yaotsu Chang +1
Recently, a construction of group divisible designs (GDDs) derived from the decoding of quadratic residue (QR) codes was given. In this paper, we extend the idea to obtain a new fa…
math.NT2017
Degrees of irreducible polynomials over binary field
Yaotsu Chang, Chong-Dao Lee, Chia-an Liu
An algorithm for factoring polynomials over finite fields is given by Berlekamp in 1967. The main tool was the matrix Q corresponding to each polynomial. This paper studies the deg…