Information on Result #652800
Linear OA(3298, 169, F32, 61) (dual of [169, 71, 62]-code), using construction X applied to AG(F,57P) ⊂ AG(F,81P) based on
- linear OA(3272, 119, F32, 61) (dual of [119, 47, 62]-code), using algebraic-geometric code AG(F,57P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120, using
- linear OA(3248, 119, F32, 37) (dual of [119, 71, 38]-code), using algebraic-geometric code AG(F,81P) [i] based on function field F/F32 with g(F) = 11 and N(F) ≥ 120 (see above)
- linear OA(3226, 50, F32, 23) (dual of [50, 24, 24]-code), using
- discarding factors / shortening the dual code based on linear OA(3226, 63, F32, 23) (dual of [63, 37, 24]-code), using
- algebraic-geometric code AG(F,39P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- discarding factors / shortening the dual code based on linear OA(3226, 63, F32, 23) (dual of [63, 37, 24]-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 OOA(3298, 84, F32, 2, 61) (dual of [(84, 2), 70, 62]-NRT-code) | [i] | OOA Folding | |