Information on Result #1461866
Linear OOA(32107, 29005, F32, 2, 35) (dual of [(29005, 2), 57903, 36]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OA(32107, 29005, F32, 35) (dual of [29005, 28898, 36]-code), using
- discarding factors / shortening the dual code based on linear OA(32107, 32796, F32, 35) (dual of [32796, 32689, 36]-code), using
- construction X applied to Ce(34) ⊂ Ce(26) [i] based on
- linear OA(32100, 32768, F32, 35) (dual of [32768, 32668, 36]-code), using an extension Ce(34) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,34], and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(3279, 32768, F32, 27) (dual of [32768, 32689, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 323−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(327, 28, F32, 7) (dual of [28, 21, 8]-code or 28-arc in PG(6,32)), using
- discarding factors / shortening the dual code based on linear OA(327, 32, F32, 7) (dual of [32, 25, 8]-code or 32-arc in PG(6,32)), using
- Reed–Solomon code RS(25,32) [i]
- discarding factors / shortening the dual code based on linear OA(327, 32, F32, 7) (dual of [32, 25, 8]-code or 32-arc in PG(6,32)), using
- construction X applied to Ce(34) ⊂ Ce(26) [i] based on
Mode: 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(32107, 3222, F32, 38, 35) (dual of [(3222, 38), 122329, 36]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |