Information on Result #734109
Linear OA(3282, 32869, F32, 22) (dual of [32869, 32787, 23]-code), using (u, u+v)-construction based on
- linear OA(3218, 98, F32, 11) (dual of [98, 80, 12]-code), using
- extended algebraic-geometric code AGe(F,86P) [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- linear OA(3264, 32771, F32, 22) (dual of [32771, 32707, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(20) [i] based on
- linear OA(3264, 32768, F32, 22) (dual of [32768, 32704, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(3261, 32768, F32, 21) (dual of [32768, 32707, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [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(21) ⊂ Ce(20) [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(3282, 16434, F32, 2, 22) (dual of [(16434, 2), 32786, 23]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3282, 2988, F32, 22, 22) (dual of [(2988, 22), 65654, 23]-NRT-code) | [i] | OA Folding and Stacking | |