On the size of arcs in projective spaces
The known results on the maximum size of an arc in a projective space or equivalently the maximum length of a maximum distance separable linear code are surveyed. It is then shown that this maximum is q+1 for all dimensions up to q in the cases that q=11 and q=13; the result for q=11 was previously...
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| Veröffentlicht in: | IEEE transactions on information theory 1995-11, Vol.41 (6), p.1649-1656 |
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| container_end_page | 1656 |
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| container_issue | 6 |
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| container_title | IEEE transactions on information theory |
| container_volume | 41 |
| creator | Ali, A.H. Hirschfeld, J.W.P. Kaneta, H. |
| description | The known results on the maximum size of an arc in a projective space or equivalently the maximum length of a maximum distance separable linear code are surveyed. It is then shown that this maximum is q+1 for all dimensions up to q in the cases that q=11 and q=13; the result for q=11 was previously known. The strategy is to first show that a 11-arc in PG (3,11) and a 12-arc in PG (3,13) are subsets of a twisted cubic, that is, a normal rational curve. |
| doi_str_mv | 10.1109/18.476237 |
| format | Article |
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| identifier | ISSN: 0018-9448 |
| ispartof | IEEE transactions on information theory, 1995-11, Vol.41 (6), p.1649-1656 |
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| language | eng |
| recordid | cdi_ieee_primary_476237 |
| source | IEEE Electronic Library (IEL) |
| subjects | Algebra Galois fields Geometry Linear code Polynomials Symmetric matrices Tin Vectors |
| title | On the size of arcs in projective spaces |
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