Information on Result #658600
Linear OA(1659, 65, F16, 54) (dual of [65, 6, 55]-code), using construction X applied to AG(F,9P) ⊂ AG(F,10P) based on
- linear OA(1659, 64, F16, 54) (dual of [64, 5, 55]-code), using algebraic-geometric code AG(F,9P) with known gap numbers [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using the Hermitian function field over F16 [i]
- linear OA(1658, 64, F16, 53) (dual of [64, 6, 54]-code), using algebraic-geometric code AG(F,10P) with known gap numbers [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(160, 1, F16, 0) (dual of [1, 1, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(1657, 63, F16, 52) (dual of [63, 6, 53]-code) | [i] | Truncation | |
| 2 | Linear OA(1656, 62, F16, 51) (dual of [62, 6, 52]-code) | [i] | ||
| 3 | Linear OA(1655, 61, F16, 50) (dual of [61, 6, 51]-code) | [i] | ||
| 4 | Linear OA(1654, 60, F16, 49) (dual of [60, 6, 50]-code) | [i] | ||
| 5 | Linear OA(1653, 59, F16, 48) (dual of [59, 6, 49]-code) | [i] | ||
| 6 | Linear OA(1652, 58, F16, 47) (dual of [58, 6, 48]-code) | [i] | ||
| 7 | Linear OA(1651, 57, F16, 46) (dual of [57, 6, 47]-code) | [i] | ||
| 8 | Linear OA(1650, 56, F16, 45) (dual of [56, 6, 46]-code) | [i] | ||
| 9 | Linear OA(1649, 55, F16, 44) (dual of [55, 6, 45]-code) | [i] | ||
| 10 | Linear OA(1648, 54, F16, 43) (dual of [54, 6, 44]-code) | [i] | ||
| 11 | Linear OA(1647, 53, F16, 42) (dual of [53, 6, 43]-code) | [i] | ||
| 12 | Linear OA(1646, 52, F16, 41) (dual of [52, 6, 42]-code) | [i] | ||
| 13 | Linear OA(1645, 51, F16, 40) (dual of [51, 6, 41]-code) | [i] | ||
| 14 | Linear OA(1644, 50, F16, 39) (dual of [50, 6, 40]-code) | [i] | ||
| 15 | Linear OA(16124, 130, F16, 109) (dual of [130, 6, 110]-code) | [i] | Repeating Each Code Word | |
| 16 | Linear OA(1676, 82, F16, 66) (dual of [82, 6, 67]-code) | [i] | Juxtaposition | |
| 17 | Linear OA(1683, 89, F16, 72) (dual of [89, 6, 73]-code) | [i] | ||
| 18 | Linear OA(1692, 98, F16, 80) (dual of [98, 6, 81]-code) | [i] | ||
| 19 | Linear OA(1697, 103, F16, 84) (dual of [103, 6, 85]-code) | [i] | ||
| 20 | Linear OA(16104, 110, F16, 90) (dual of [110, 6, 91]-code) | [i] | ||
| 21 | Linear OA(16126, 132, F16, 110) (dual of [132, 6, 111]-code) | [i] | ||
| 22 | Linear OA(16130, 136, F16, 113) (dual of [136, 6, 114]-code) | [i] | ||
| 23 | Linear OA(1684, 90, F16, 73) (dual of [90, 6, 74]-code) | [i] | ||