Permutation codes:  a branch and bound approach

Roberto Montemanni; Janos Barta; Derek H. Smith

Permutation codes: a branch and bound approach

Roberto Montemanni, Janos Barta, Derek H. Smith

Cyfadran Cyfrifiadureg, Peirianneg a Gwyddoniaeth

Allbwn ymchwil: Pennod mewn Llyfr/Adroddiad/Trafodion Cynhadledd › Cyfraniad i gynhadledd › adolygiad gan gymheiriaid

Crynodeb

This paper presents a new approach for retrieving
largest possible permutation codes. These have applications in
error correction for telecommunication purposes. The method
presented is based on combinatorial optimization concepts such
as branch and bound techniques and incorporates new adhoc
theoretical results. It is shown how the method can be
applied to obtain new results for subproblems. These results for
subproblems can be combined with other theoretical results to
obtain new results for complete instances. It is shown how the
new improved upper bound M(7,5) ≤ 124 can be obtained with
such techniques.

Iaith wreiddiol	Saesneg
Teitl	ADVANCES in APPLIED and PURE MATHEMATICS
Is-deitl	Proceedings of the 2014 International Conference on Pure Mathematics, Applied Mathematics, Computational Methods (PMAMCM 2014)
Tudalennau	86-90
Nifer y tudalennau	4
Statws	Cyhoeddwyd - 17 Gorff 2014
Digwyddiad	2014 International Conference on Pure Mathematics, Applied Mathematics, Computational Methods - Santorini Island, Groeg Hyd: 17 Gorff 2014 → 21 Gorff 2014

Cyfres gyhoeddiadau

Enw	Mathematics and Computers in Science and Engineering Series
Cyfrol	29
ISSN (Argraffiad)	2227-4588

Cynhadledd

Cynhadledd	2014 International Conference on Pure Mathematics, Applied Mathematics, Computational Methods
Teitl cryno	PMAMCM 2014
Gwlad/Tiriogaeth	Groeg
Dinas	Santorini Island
Cyfnod	17/07/14 → 21/07/14

Mynediad at Ddogfen

Dyfynnu hyn

Montemanni, R., Barta, J., & Smith, D. H. (2014). Permutation codes: a branch and bound approach. Yn ADVANCES in APPLIED and PURE MATHEMATICS: Proceedings of the 2014 International Conference on Pure Mathematics, Applied Mathematics, Computational Methods (PMAMCM 2014) (tt. 86-90). (Mathematics and Computers in Science and Engineering Series; Cyfrol 29). http://reswin1.isd.glam.ac.uk/f/3135/Smith-Permutationcodes-2014.pdf

@inproceedings{cb2e5f393a9f4d809363070a8f370b47,

title = "Permutation codes: a branch and bound approach",

abstract = "This paper presents a new approach for retrievinglargest possible permutation codes. These have applications inerror correction for telecommunication purposes. The methodpresented is based on combinatorial optimization concepts suchas branch and bound techniques and incorporates new adhoctheoretical results. It is shown how the method can beapplied to obtain new results for subproblems. These results forsubproblems can be combined with other theoretical results toobtain new results for complete instances. It is shown how thenew improved upper bound M(7,5) ≤ 124 can be obtained withsuch techniques.",

keywords = "permutation codes, Branch and bound algorithms, Upper bounds",

author = "Roberto Montemanni and Janos Barta and Smith, {Derek H.}",

year = "2014",

month = jul,

day = "17",

language = "English",

isbn = "978-1-61804-240-8 ",

series = "Mathematics and Computers in Science and Engineering Series",

pages = "86--90",

booktitle = "ADVANCES in APPLIED and PURE MATHEMATICS",

note = "2014 International Conference on Pure Mathematics, Applied Mathematics, Computational Methods, PMAMCM 2014 ; Conference date: 17-07-2014 Through 21-07-2014",

}

Montemanni, R, Barta, J & Smith, DH 2014, Permutation codes: a branch and bound approach. yn ADVANCES in APPLIED and PURE MATHEMATICS: Proceedings of the 2014 International Conference on Pure Mathematics, Applied Mathematics, Computational Methods (PMAMCM 2014). Mathematics and Computers in Science and Engineering Series, cyfrol. 29, tt. 86-90, 2014 International Conference on Pure Mathematics, Applied Mathematics, Computational Methods, Santorini Island, Groeg, 17/07/14. <http://reswin1.isd.glam.ac.uk/f/3135/Smith-Permutationcodes-2014.pdf>

Permutation codes : a branch and bound approach. / Montemanni, Roberto; Barta, Janos; Smith, Derek H.

ADVANCES in APPLIED and PURE MATHEMATICS: Proceedings of the 2014 International Conference on Pure Mathematics, Applied Mathematics, Computational Methods (PMAMCM 2014). 2014. t. 86-90 (Mathematics and Computers in Science and Engineering Series; Cyfrol 29).

Allbwn ymchwil: Pennod mewn Llyfr/Adroddiad/Trafodion Cynhadledd › Cyfraniad i gynhadledd › adolygiad gan gymheiriaid

TY - GEN

T1 - Permutation codes

T2 - 2014 International Conference on Pure Mathematics, Applied Mathematics, Computational Methods

AU - Montemanni, Roberto

AU - Barta, Janos

AU - Smith, Derek H.

PY - 2014/7/17

Y1 - 2014/7/17

N2 - This paper presents a new approach for retrievinglargest possible permutation codes. These have applications inerror correction for telecommunication purposes. The methodpresented is based on combinatorial optimization concepts suchas branch and bound techniques and incorporates new adhoctheoretical results. It is shown how the method can beapplied to obtain new results for subproblems. These results forsubproblems can be combined with other theoretical results toobtain new results for complete instances. It is shown how thenew improved upper bound M(7,5) ≤ 124 can be obtained withsuch techniques.

AB - This paper presents a new approach for retrievinglargest possible permutation codes. These have applications inerror correction for telecommunication purposes. The methodpresented is based on combinatorial optimization concepts suchas branch and bound techniques and incorporates new adhoctheoretical results. It is shown how the method can beapplied to obtain new results for subproblems. These results forsubproblems can be combined with other theoretical results toobtain new results for complete instances. It is shown how thenew improved upper bound M(7,5) ≤ 124 can be obtained withsuch techniques.

KW - permutation codes

KW - Branch and bound algorithms

KW - Upper bounds

M3 - Conference contribution

SN - 978-1-61804-240-8

T3 - Mathematics and Computers in Science and Engineering Series

SP - 86

EP - 90

BT - ADVANCES in APPLIED and PURE MATHEMATICS

Y2 - 17 July 2014 through 21 July 2014

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