Information on Result #734221
Linear OA(3268, 32840, F32, 19) (dual of [32840, 32772, 20]-code), using (u, u+v)-construction based on
- linear OA(3212, 64, F32, 9) (dual of [64, 52, 10]-code), using
- extended algebraic-geometric code AGe(F,54P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OA(3256, 32776, F32, 19) (dual of [32776, 32720, 20]-code), using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
- linear OA(3255, 32769, F32, 19) (dual of [32769, 32714, 20]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- linear OA(3249, 32769, F32, 17) (dual of [32769, 32720, 18]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,8], and minimum distance d ≥ |{−8,−7,…,8}|+1 = 18 (BCH-bound) [i]
- linear OA(321, 7, F32, 1) (dual of [7, 6, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(321, s, F32, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to C([0,9]) ⊂ C([0,8]) [i] based on
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(3268, 16420, F32, 2, 19) (dual of [(16420, 2), 32772, 20]-NRT-code) | [i] | OOA Folding | |