On the Nonexistence of Perfect Codes Over Finite Fields
It is proved that there are no unknown perfect (Hamming-)error-correcting codes over finite fields.
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| Veröffentlicht in: | SIAM journal on applied mathematics 1973-01, Vol.24 (1), p.88-96 |
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| container_end_page | 96 |
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| container_issue | 1 |
| container_start_page | 88 |
| container_title | SIAM journal on applied mathematics |
| container_volume | 24 |
| creator | Tietavainen, Aimo |
| description | It is proved that there are no unknown perfect (Hamming-)error-correcting codes over finite fields. |
| doi_str_mv | 10.1137/0124010 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0036-1399 |
| ispartof | SIAM journal on applied mathematics, 1973-01, Vol.24 (1), p.88-96 |
| issn | 0036-1399 1095-712X |
| language | eng |
| recordid | cdi_proquest_journals_917786989 |
| source | JSTOR Mathematics & Statistics; Jstor Complete Legacy; LOCUS - SIAM's Online Journal Archive |
| subjects | Binary codes Cardinality Codes Coding theory Error correction & detection Inequality Integers Mathematical theorems Nonexistence Perfect codes |
| title | On the Nonexistence of Perfect Codes Over Finite Fields |
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