We regard a De Bruijn sequence of order n as a bijection on $mathbb{F}_2^n$ and consider the transition mappings between them. It is shown that there are only two conjugate transformations that always transfer De Bruijn sequences to De Bruijn sequences.
Ming LI
Chinese Academy of Sciences
Yupeng JIANG
Chinese Academy of Sciences
Dongdai LIN
Chinese Academy of Sciences
Qiuyan WANG
Chinese Academy of Sciences
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Ming LI, Yupeng JIANG, Dongdai LIN, Qiuyan WANG, "Transition Mappings between De Bruijn Sequences" in IEICE TRANSACTIONS on Fundamentals,
vol. E100-A, no. 5, pp. 1254-1256, May 2017, doi: 10.1587/transfun.E100.A.1254.
Abstract: We regard a De Bruijn sequence of order n as a bijection on $mathbb{F}_2^n$ and consider the transition mappings between them. It is shown that there are only two conjugate transformations that always transfer De Bruijn sequences to De Bruijn sequences.
URL: https://globals.ieice.org/en_transactions/fundamentals/10.1587/transfun.E100.A.1254/_p
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@ARTICLE{e100-a_5_1254,
author={Ming LI, Yupeng JIANG, Dongdai LIN, Qiuyan WANG, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Transition Mappings between De Bruijn Sequences},
year={2017},
volume={E100-A},
number={5},
pages={1254-1256},
abstract={We regard a De Bruijn sequence of order n as a bijection on $mathbb{F}_2^n$ and consider the transition mappings between them. It is shown that there are only two conjugate transformations that always transfer De Bruijn sequences to De Bruijn sequences.},
keywords={},
doi={10.1587/transfun.E100.A.1254},
ISSN={1745-1337},
month={May},}
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TY - JOUR
TI - Transition Mappings between De Bruijn Sequences
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 1254
EP - 1256
AU - Ming LI
AU - Yupeng JIANG
AU - Dongdai LIN
AU - Qiuyan WANG
PY - 2017
DO - 10.1587/transfun.E100.A.1254
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E100-A
IS - 5
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - May 2017
AB - We regard a De Bruijn sequence of order n as a bijection on $mathbb{F}_2^n$ and consider the transition mappings between them. It is shown that there are only two conjugate transformations that always transfer De Bruijn sequences to De Bruijn sequences.
ER -