In this paper, we present a polynomial construction based on Jacket and Hadamard matrices over the Galois Field. The construction has two modes, one only includes matrices extension, and the other includes a center-weighted scheme for polynomial representations. Here, an "addition" scheme is used to represent matrices, which can lead to simple operations and convenient implementation of hardware.
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Jia HOU, Moon Ho LEE, Ju Yong PARK, "New Polynomial Construction of Jacket Transform" in IEICE TRANSACTIONS on Fundamentals,
vol. E86-A, no. 3, pp. 652-660, March 2003, doi: .
Abstract: In this paper, we present a polynomial construction based on Jacket and Hadamard matrices over the Galois Field. The construction has two modes, one only includes matrices extension, and the other includes a center-weighted scheme for polynomial representations. Here, an "addition" scheme is used to represent matrices, which can lead to simple operations and convenient implementation of hardware.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/e86-a_3_652/_p
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@ARTICLE{e86-a_3_652,
author={Jia HOU, Moon Ho LEE, Ju Yong PARK, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={New Polynomial Construction of Jacket Transform},
year={2003},
volume={E86-A},
number={3},
pages={652-660},
abstract={In this paper, we present a polynomial construction based on Jacket and Hadamard matrices over the Galois Field. The construction has two modes, one only includes matrices extension, and the other includes a center-weighted scheme for polynomial representations. Here, an "addition" scheme is used to represent matrices, which can lead to simple operations and convenient implementation of hardware.},
keywords={},
doi={},
ISSN={},
month={March},}
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TY - JOUR
TI - New Polynomial Construction of Jacket Transform
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 652
EP - 660
AU - Jia HOU
AU - Moon Ho LEE
AU - Ju Yong PARK
PY - 2003
DO -
JO - IEICE TRANSACTIONS on Fundamentals
SN -
VL - E86-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2003
AB - In this paper, we present a polynomial construction based on Jacket and Hadamard matrices over the Galois Field. The construction has two modes, one only includes matrices extension, and the other includes a center-weighted scheme for polynomial representations. Here, an "addition" scheme is used to represent matrices, which can lead to simple operations and convenient implementation of hardware.
ER -