Information on Result #645490
Linear OA(1674, 82, F16, 62) (dual of [82, 8, 63]-code), using construction XX applied to AG(F,0P) ⊂ AG(F,12P) ⊂ AG(F,13P) based on
- linear OA(1663, 64, F16, 63) (dual of [64, 1, 64]-code or 64-arc in PG(62,16)), using algebraic-geometric code AG(F,0P) [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(1656, 64, F16, 50) (dual of [64, 8, 51]-code), using algebraic-geometric code AG(F,13P) [i] based on function field F/F16 with g(F) = 6 and N(F) ≥ 65 (see above)
- linear OA(1610, 17, F16, 10) (dual of [17, 7, 11]-code or 17-arc in PG(9,16)), using
- extended Reed–Solomon code RSe(7,16) [i]
- linear OA(160, 1, F16, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
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(1672, 80, F16, 60) (dual of [80, 8, 61]-code) | [i] | Truncation | |
| 2 | Linear OOA(1674, 41, F16, 2, 62) (dual of [(41, 2), 8, 63]-NRT-code) | [i] | OOA Folding | |