DSpace Collection: Volume 27 Number 4
http://hdl.handle.net/10525/460
Serdica Mathematical Journal Volume 27, Number 4, 2001The Collection's search engineSearch the Channelsearch
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Polynomial Automorphisms Over Finite Fields
http://hdl.handle.net/10525/486
Title: Polynomial Automorphisms Over Finite Fields<br/><br/>Authors: Maubach, Stefan<br/><br/>Abstract: It is shown that the invertible polynomial maps over a finitefield Fq , if looked at as bijections Fn,q −→ Fn,q , give all possible bijections inthe case q = 2, or q = p^r where p > 2. In the case q = 2^r where r > 1it is shown that the tame subgroup of the invertible polynomial maps givesonly the even bijections, i.e. only half the bijections. As a consequence itis shown that a set S ⊂ Fn,q can be a zero set of a coordinate if and only if#S = q^(n−1).Polynomials of Pellian Type and Continued Fractions
http://hdl.handle.net/10525/485
Title: Polynomials of Pellian Type and Continued Fractions<br/><br/>Authors: Mollin, R.<br/><br/>Abstract: We investigate infinite families of integral quadratic polynomials {fk (X)} k∈N and show that, for a fixed k ∈ N and arbitrary X ∈ N,the period length of the simple continued fraction expansion of √fk (X) isconstant. Furthermore, we show that the period lengths of √fk (X) go toinfinity with k. For each member of the families involved, we show howto determine, in an easy fashion, the fundamental unit of the underlyingquadratic field. We also demonstrate how the simple continued fraction ex- pansion of √fk (X) is related to that of √C, where √fk (X) = ak*X^2 +bk*X + C.This continues work in [1]–[4].Further Generalization of Kobayashi's Gamma Function
http://hdl.handle.net/10525/484
Title: Further Generalization of Kobayashi's Gamma Function<br/><br/>Authors: Galue, L.; Alobaidi, G.; Kalla, S.<br/><br/>Abstract: In this paper, we introduce a further generalization of the gamma function involving Gauss hypergeometric function 2F1 (a, b; c; z)New Binary $[70,35,12]$ Self-Dual and Binary $[72,36,12]$ Self-Dual Doubly-Even Codes
http://hdl.handle.net/10525/483
Title: New Binary $[70,35,12]$ Self-Dual and Binary $[72,36,12]$ Self-Dual Doubly-Even Codes<br/><br/>Authors: Dontcheva, Radinka<br/><br/>Abstract: In this paper we prove that up to equivalence there exist 158binary [70, 35, 12] self-dual and 119 binary [72, 36, 12] self-dual doubly-evencodes all of which have an automorphism of order 23 and we present theirconstruction. All these codes are new.<br/><br/>Description: ∗ This work was supported in part by the Bulgarian NSF under Grant MM-901/99On Projective Plane of Order 13 with a Frobenius Group of Order 39 as a Collineation Group
http://hdl.handle.net/10525/482
Title: On Projective Plane of Order 13 with a Frobenius Group of Order 39 as a Collineation Group<br/><br/>Authors: Hoxha, Razim<br/><br/>Abstract: One of the most outstanding problems in combinatorial mathematicsand geometry is the problem of existence of finite projective planeswhose order is not a prime power.Divisible Codes - A Survey
http://hdl.handle.net/10525/481
Title: Divisible Codes - A Survey<br/><br/>Authors: Ward, Harold<br/><br/>Abstract: This paper surveys parts of the study of divisibility properties of codes.The survey begins with the motivating background involvingpolynomials over finite fields. Then it presents recent results on bounds andapplications to optimal codes.