Information on Result #658601
Linear OA(1659, 66, F16, 53) (dual of [66, 7, 54]-code), using construction X applied to AG(F,10P) ⊂ AG(F,12P) based on
- 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, using the Hermitian function field over F16 [i]
- linear OA(1657, 64, F16, 51) (dual of [64, 7, 52]-code), using algebraic-geometric code AG(F,12P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(161, 2, F16, 1) (dual of [2, 1, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(161, s, F16, 1) (dual of [s, s−1, 2]-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(16125, 132, F16, 107) (dual of [132, 7, 108]-code) | [i] | Repeating Each Code Word | |
| 2 | Linear OA(1676, 83, F16, 64) (dual of [83, 7, 65]-code) | [i] | Juxtaposition | |
| 3 | Linear OA(1683, 90, F16, 70) (dual of [90, 7, 71]-code) | [i] | ||
| 4 | Linear OA(1692, 99, F16, 78) (dual of [99, 7, 79]-code) | [i] | ||
| 5 | Linear OA(1697, 104, F16, 82) (dual of [104, 7, 83]-code) | [i] | ||
| 6 | Linear OA(16104, 111, F16, 88) (dual of [111, 7, 89]-code) | [i] | ||
| 7 | Linear OA(16108, 115, F16, 91) (dual of [115, 7, 92]-code) | [i] | ||
| 8 | Linear OA(16127, 134, F16, 108) (dual of [134, 7, 109]-code) | [i] | ||
| 9 | Linear OOA(1659, 33, F16, 2, 53) (dual of [(33, 2), 7, 54]-NRT-code) | [i] | OOA Folding | |