Information on Result #734036
Linear OA(3287, 32847, F32, 24) (dual of [32847, 32760, 25]-code), using (u, u+v)-construction based on
- linear OA(3217, 76, F32, 12) (dual of [76, 59, 13]-code), using
- extended algebraic-geometric code AGe(F,63P) [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 76, using
- linear OA(3270, 32771, F32, 24) (dual of [32771, 32701, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(3270, 32768, F32, 24) (dual of [32768, 32698, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(3267, 32768, F32, 23) (dual of [32768, 32701, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(320, 3, F32, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(320, s, F32, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(23) ⊂ Ce(22) [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(3287, 16423, F32, 2, 24) (dual of [(16423, 2), 32759, 25]-NRT-code) | [i] | OOA Folding | |