The (16,16,2) designs
Elementary techniques of algebraic coding theory are here used to discuss the three biplanes with k=6. These three designs are intimately related to the (16,11) extended binary Hamming code and to one another; we systematically investigate these relationships.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1979-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171279000247 |
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| _version_ | 1832548453936267264 |
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| author | E. F. Assmus, Jr Chester J. Salwach |
| author_facet | E. F. Assmus, Jr Chester J. Salwach |
| author_sort | E. F. Assmus, Jr |
| collection | DOAJ |
| description | Elementary techniques of algebraic coding theory are here used to discuss the three biplanes with k=6. These three designs are intimately related to the (16,11) extended binary Hamming code and to one another; we systematically investigate these relationships. |
| format | Article |
| id | doaj-art-34269e140b574bdcb14fca9a59f08a79 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1979-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-34269e140b574bdcb14fca9a59f08a792025-02-03T06:13:57ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251979-01-012226128110.1155/S0161171279000247The (16,16,2) designsE. F. Assmus, Jr0Chester J. Salwach1Department of Mathematics, Lehigh University, Bethlehem 18015, Pennsylvania, USADepartment of Mathematics, Lafayette College, Easton 18042, Pennsylvania, USAElementary techniques of algebraic coding theory are here used to discuss the three biplanes with k=6. These three designs are intimately related to the (16,11) extended binary Hamming code and to one another; we systematically investigate these relationships.http://dx.doi.org/10.1155/S0161171279000247biplaneincidence matrixself-orthogonal linear codes(16,11) extended binary Hamming codeweight distributionautomorphism groupsdifference set. |
| spellingShingle | E. F. Assmus, Jr Chester J. Salwach The (16,16,2) designs International Journal of Mathematics and Mathematical Sciences biplane incidence matrix self-orthogonal linear codes (16,11) extended binary Hamming code weight distribution automorphism groups difference set. |
| title | The (16,16,2) designs |
| title_full | The (16,16,2) designs |
| title_fullStr | The (16,16,2) designs |
| title_full_unstemmed | The (16,16,2) designs |
| title_short | The (16,16,2) designs |
| title_sort | 16 16 2 designs |
| topic | biplane incidence matrix self-orthogonal linear codes (16,11) extended binary Hamming code weight distribution automorphism groups difference set. |
| url | http://dx.doi.org/10.1155/S0161171279000247 |
| work_keys_str_mv | AT efassmusjr the16162designs AT chesterjsalwach the16162designs AT efassmusjr 16162designs AT chesterjsalwach 16162designs |