Information on Result #664761
Linear OA(1696, 131, F16, 57) (dual of [131, 35, 58]-code), using (u, u+v)-construction based on
- linear OA(1634, 65, F16, 28) (dual of [65, 31, 29]-code), using
- extended algebraic-geometric code AGe(F,36P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- the Hermitian function field over F16 [i]
- extended algebraic-geometric code AGe(F,36P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65, using
- linear OA(1662, 66, F16, 57) (dual of [66, 4, 58]-code), using
- 1 times truncation [i] based on linear OA(1663, 67, F16, 58) (dual of [67, 4, 59]-code), using
- construction X applied to AG(F,5P) ⊂ AG(F,8P) [i] based on
- linear OA(1661, 64, F16, 58) (dual of [64, 3, 59]-code), using algebraic-geometric code AG(F,5P) 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(1660, 64, F16, 55) (dual of [64, 4, 56]-code), using algebraic-geometric code AG(F,8P) with known gap numbers [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(162, 3, F16, 2) (dual of [3, 1, 3]-code or 3-arc in PG(1,16)), using
- dual of repetition code with length 3 [i]
- construction X applied to AG(F,5P) ⊂ AG(F,8P) [i] based on
- 1 times truncation [i] based on linear OA(1663, 67, F16, 58) (dual of [67, 4, 59]-code), 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(1695, 130, F16, 56) (dual of [130, 35, 57]-code) | [i] | Truncation | |
| 2 | Linear OOA(1696, 65, F16, 2, 57) (dual of [(65, 2), 34, 58]-NRT-code) | [i] | OOA Folding | |