IEICE TRANSACTIONS on Fundamentals
Combinatorial Structures Behind Binary Generalized NTU Sequences
Summary :
This paper concentrates on a class of pseudorandom sequences generated by combining q-ary m-sequences and quadratic characters over a finite field of odd order, called binary generalized NTU sequences. It is shown that the relationship among the sub-sequences of binary generalized NTU sequences can be formulated as combinatorial structures called Hadamard designs. As a consequence, the combinatorial structures generalize the group structure discovered by Kodera et al. (IEICE Trans. Fundamentals, vol.E102-A, no.12, pp.1659-1667, 2019) and lead to a finite-geometric explanation for the investigated group structure.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E106-A No.3 pp.440-444
- Publication Date
- 2023/03/01
- Publicized
- 2022/06/15
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.2022TAL0004
- Type of Manuscript
- Special Section LETTER (Special Section on Information Theory and Its Applications)
- Category
- Cryptography and Information Security
Authors
Xiao-Nan LU
University of Yamanashi
Keyword
Latest Issue
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Xiao-Nan LU, "Combinatorial Structures Behind Binary Generalized NTU Sequences" in IEICE TRANSACTIONS on Fundamentals,
vol. E106-A, no. 3, pp. 440-444, March 2023, doi: 10.1587/transfun.2022TAL0004.
Abstract: This paper concentrates on a class of pseudorandom sequences generated by combining q-ary m-sequences and quadratic characters over a finite field of odd order, called binary generalized NTU sequences. It is shown that the relationship among the sub-sequences of binary generalized NTU sequences can be formulated as combinatorial structures called Hadamard designs. As a consequence, the combinatorial structures generalize the group structure discovered by Kodera et al. (IEICE Trans. Fundamentals, vol.E102-A, no.12, pp.1659-1667, 2019) and lead to a finite-geometric explanation for the investigated group structure.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.2022TAL0004/_p
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@ARTICLE{e106-a_3_440,
author={Xiao-Nan LU, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Combinatorial Structures Behind Binary Generalized NTU Sequences},
year={2023},
volume={E106-A},
number={3},
pages={440-444},
abstract={This paper concentrates on a class of pseudorandom sequences generated by combining q-ary m-sequences and quadratic characters over a finite field of odd order, called binary generalized NTU sequences. It is shown that the relationship among the sub-sequences of binary generalized NTU sequences can be formulated as combinatorial structures called Hadamard designs. As a consequence, the combinatorial structures generalize the group structure discovered by Kodera et al. (IEICE Trans. Fundamentals, vol.E102-A, no.12, pp.1659-1667, 2019) and lead to a finite-geometric explanation for the investigated group structure.},
keywords={},
doi={10.1587/transfun.2022TAL0004},
ISSN={1745-1337},
month={March},}
Copy
TY - JOUR
TI - Combinatorial Structures Behind Binary Generalized NTU Sequences
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 440
EP - 444
AU - Xiao-Nan LU
PY - 2023
DO - 10.1587/transfun.2022TAL0004
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E106-A
IS - 3
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - March 2023
AB - This paper concentrates on a class of pseudorandom sequences generated by combining q-ary m-sequences and quadratic characters over a finite field of odd order, called binary generalized NTU sequences. It is shown that the relationship among the sub-sequences of binary generalized NTU sequences can be formulated as combinatorial structures called Hadamard designs. As a consequence, the combinatorial structures generalize the group structure discovered by Kodera et al. (IEICE Trans. Fundamentals, vol.E102-A, no.12, pp.1659-1667, 2019) and lead to a finite-geometric explanation for the investigated group structure.
ER -
English
