## Title data

Kurz, Sascha:

**Trifferent codes with small lengths.**

Bayreuth
,
2023
. - 11 p.

DOI: https://doi.org/10.15495/EPub_UBT_00007256

## Abstract in another language

A code C over the alphabet {0,1,2} with length n is called trifferent if for any three distinct elements of C there exists a coordinate in which they all differ. By T(n) we denote the maximum cardinality of trifferent codes with length n. T(5)=10 and T(6)=13 were recently determined. Here we determine T(7)=16, T(8)=20, and T(9)=27. For the latter case n=9 there also exist linear codes attaining the maximum possible cardinality 27.

## Further data

Item Type: | Preprint, postprint |
---|---|

Keywords: | trifferent codes; minimal ternary codes; perfect k-hashing |

Subject classification: | Mathematics Subject Classification Code: 68R05 (68Q17) |

Institutions of the University: | Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematical Economics Faculties |

Result of work at the UBT: | Yes |

DDC Subjects: | 000 Computer Science, information, general works > 004 Computer science 500 Science > 510 Mathematics |

Date Deposited: | 28 Oct 2023 21:13 |

Last Modified: | 30 Oct 2023 07:28 |

URI: | https://eref.uni-bayreuth.de/id/eprint/87428 |