In this paper, using p-ary bent functions defined on vector space over the finite field Fpk, we generalized the construction method of the families of p-ary bent sequences with balanced and optimal correlation properties introduced by Kumar and Moreno for an odd prime p, called generalized p-ary bent sequences. It turns out that the family of balanced p-ary sequences with optimal correlation property introduced by Moriuchi and Imamura is a special case of the newly constructed generalized p-ary bent sequences.
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Young-Sik KIM, Ji-Woong JANG, Jong-Seon NO, Tor HELLESETH, "New Constructions of p-ary Bent Sequences" in IEICE TRANSACTIONS on Fundamentals,
vol. E87-A, no. 2, pp. 489-494, February 2004, doi: .
Abstract: In this paper, using p-ary bent functions defined on vector space over the finite field Fpk, we generalized the construction method of the families of p-ary bent sequences with balanced and optimal correlation properties introduced by Kumar and Moreno for an odd prime p, called generalized p-ary bent sequences. It turns out that the family of balanced p-ary sequences with optimal correlation property introduced by Moriuchi and Imamura is a special case of the newly constructed generalized p-ary bent sequences.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e87-a_2_489/_p
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@ARTICLE{e87-a_2_489,
author={Young-Sik KIM, Ji-Woong JANG, Jong-Seon NO, Tor HELLESETH, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={New Constructions of p-ary Bent Sequences},
year={2004},
volume={E87-A},
number={2},
pages={489-494},
abstract={In this paper, using p-ary bent functions defined on vector space over the finite field Fpk, we generalized the construction method of the families of p-ary bent sequences with balanced and optimal correlation properties introduced by Kumar and Moreno for an odd prime p, called generalized p-ary bent sequences. It turns out that the family of balanced p-ary sequences with optimal correlation property introduced by Moriuchi and Imamura is a special case of the newly constructed generalized p-ary bent sequences.},
keywords={},
doi={},
ISSN={},
month={February},}
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TY - JOUR
TI - New Constructions of p-ary Bent Sequences
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 489
EP - 494
AU - Young-Sik KIM
AU - Ji-Woong JANG
AU - Jong-Seon NO
AU - Tor HELLESETH
PY - 2004
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E87-A
IS - 2
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - February 2004
AB - In this paper, using p-ary bent functions defined on vector space over the finite field Fpk, we generalized the construction method of the families of p-ary bent sequences with balanced and optimal correlation properties introduced by Kumar and Moreno for an odd prime p, called generalized p-ary bent sequences. It turns out that the family of balanced p-ary sequences with optimal correlation property introduced by Moriuchi and Imamura is a special case of the newly constructed generalized p-ary bent sequences.
ER -