Information on Result #734284
Linear OA(3261, 32840, F32, 17) (dual of [32840, 32779, 18]-code), using (u, u+v)-construction based on
- linear OA(3211, 64, F32, 8) (dual of [64, 53, 9]-code), using
- extended algebraic-geometric code AGe(F,55P) [i] based on function field F/F32 with g(F) = 3 and N(F) ≥ 64, using
- linear OA(3250, 32776, F32, 17) (dual of [32776, 32726, 18]-code), using
- construction X applied to C([0,8]) ⊂ C([0,7]) [i] based on
- 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(3243, 32769, F32, 15) (dual of [32769, 32726, 16]-code), using the expurgated narrow-sense BCH-code C(I) with length 32769 | 326−1, defining interval I = [0,7], and minimum distance d ≥ |{−7,−6,…,7}|+1 = 16 (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([0,8]) ⊂ C([0,7]) [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(3261, 16420, F32, 2, 17) (dual of [(16420, 2), 32779, 18]-NRT-code) | [i] | OOA Folding | |