Simple distance-preserving mappings from ternary vectors to permutations

Te Tsung Lin; Shi-Chun Tsai; Hsin Lung Wu

doi:10.1109/TIT.2008.924716

Simple distance-preserving mappings from ternary vectors to permutations

Te Tsung Lin^*, Shi-Chun Tsai, Hsin Lung Wu

^*Corresponding author for this work

Department of Computer Science

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We give a simple construction of distance-preserving mappings from ternary vectors to permutations (3-DPM). Our result gives a lower bound for permutation arrays, i.e., P(n, d) ≥ A₃ (n,d), which significantly improves previous lower bounds for ≤ 3n/5.

Original language	English
Pages (from-to)	3251-3256
Number of pages	6
Journal	IEEE Transactions on Information Theory
Volume	54
Issue number	7
DOIs	https://doi.org/10.1109/TIT.2008.924716
State	Published - 1 Jul 2008

Keywords

Code constructions
Distance-preserving mappings
Permutation arrays
Ternary codes

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10.1109/TIT.2008.924716

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title = "Simple distance-preserving mappings from ternary vectors to permutations",

abstract = "We give a simple construction of distance-preserving mappings from ternary vectors to permutations (3-DPM). Our result gives a lower bound for permutation arrays, i.e., P(n, d) ≥ A3 (n,d), which significantly improves previous lower bounds for ≤ 3n/5.",

keywords = "Code constructions, Distance-preserving mappings, Permutation arrays, Ternary codes",

author = "Lin, {Te Tsung} and Shi-Chun Tsai and Wu, {Hsin Lung}",

year = "2008",

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language = "English",

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T1 - Simple distance-preserving mappings from ternary vectors to permutations

AU - Lin, Te Tsung

AU - Tsai, Shi-Chun

AU - Wu, Hsin Lung

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N2 - We give a simple construction of distance-preserving mappings from ternary vectors to permutations (3-DPM). Our result gives a lower bound for permutation arrays, i.e., P(n, d) ≥ A3 (n,d), which significantly improves previous lower bounds for ≤ 3n/5.

AB - We give a simple construction of distance-preserving mappings from ternary vectors to permutations (3-DPM). Our result gives a lower bound for permutation arrays, i.e., P(n, d) ≥ A3 (n,d), which significantly improves previous lower bounds for ≤ 3n/5.

KW - Code constructions

KW - Distance-preserving mappings

KW - Permutation arrays

KW - Ternary codes

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DO - 10.1109/TIT.2008.924716

M3 - Article

AN - SCOPUS:46749121986

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EP - 3256

JO - IEEE Transactions on Information Theory

JF - IEEE Transactions on Information Theory

SN - 0018-9448

IS - 7

ER -

Simple distance-preserving mappings from ternary vectors to permutations

Abstract

Keywords

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