Information on Result #733987
Linear OA(3298, 32877, F32, 26) (dual of [32877, 32779, 27]-code), using (u, u+v)-construction based on
- linear OA(3220, 98, F32, 13) (dual of [98, 78, 14]-code), using
- extended algebraic-geometric code AGe(F,84P) [i] based on function field F/F32 with g(F) = 7 and N(F) ≥ 98, using
- linear OA(3278, 32779, F32, 26) (dual of [32779, 32701, 27]-code), using
- construction X applied to Ce(25) ⊂ Ce(22) [i] based on
- linear OA(3276, 32768, F32, 26) (dual of [32768, 32692, 27]-code), using an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [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(322, 11, F32, 2) (dual of [11, 9, 3]-code or 11-arc in PG(1,32)), using
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- Reed–Solomon code RS(30,32) [i]
- discarding factors / shortening the dual code based on linear OA(322, 32, F32, 2) (dual of [32, 30, 3]-code or 32-arc in PG(1,32)), using
- construction X applied to Ce(25) ⊂ 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(3298, 16438, F32, 2, 26) (dual of [(16438, 2), 32778, 27]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(3298, 2529, F32, 26, 26) (dual of [(2529, 26), 65656, 27]-NRT-code) | [i] | OA Folding and Stacking | |