Information on Result #733837
Linear OA(3284, 1128, F32, 31) (dual of [1128, 1044, 32]-code), using (u, u+v)-construction based on
- linear OA(3222, 98, F32, 15) (dual of [98, 76, 16]-code), using
- extended algebraic-geometric code AGe(F,82P) [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- linear OA(3262, 1030, F32, 31) (dual of [1030, 968, 32]-code), using
- construction X applied to C([0,15]) ⊂ C([0,14]) [i] based on
- linear OA(3261, 1025, F32, 31) (dual of [1025, 964, 32]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,15], and minimum distance d ≥ |{−15,−14,…,15}|+1 = 32 (BCH-bound) [i]
- linear OA(3257, 1025, F32, 29) (dual of [1025, 968, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 1025 | 324−1, defining interval I = [0,14], and minimum distance d ≥ |{−14,−13,…,14}|+1 = 30 (BCH-bound) [i]
- linear OA(321, 5, F32, 1) (dual of [5, 4, 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([0,15]) ⊂ C([0,14]) [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(3284, 564, F32, 2, 31) (dual of [(564, 2), 1044, 32]-NRT-code) | [i] | OOA Folding | |