Information on Result #1704715
Linear OOA(2232, 5471, F2, 8, 31) (dual of [(5471, 8), 43536, 32]-NRT-code), using embedding of OOA with Gilbert–Varšamov bound based on linear OOA(2232, 5471, F2, 5, 31) (dual of [(5471, 5), 27123, 32]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(2232, 6560, F2, 5, 31) (dual of [(6560, 5), 32568, 32]-NRT-code), using
- OOA 5-folding [i] based on linear OA(2232, 32800, F2, 31) (dual of [32800, 32568, 32]-code), using
- construction X applied to Ce(30) ⊂ Ce(26) [i] based on
- linear OA(2226, 32768, F2, 31) (dual of [32768, 32542, 32]-code), using an extension Ce(30) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,30], and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(2196, 32768, F2, 27) (dual of [32768, 32572, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 32767 = 215−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(26, 32, F2, 3) (dual of [32, 26, 4]-code or 32-cap in PG(5,2)), using
- construction X applied to Ce(30) ⊂ Ce(26) [i] based on
- OOA 5-folding [i] based on linear OA(2232, 32800, F2, 31) (dual of [32800, 32568, 32]-code), using
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(2232, 2735, F2, 40, 31) (dual of [(2735, 40), 109168, 32]-NRT-code) | [i] | OOA Folding and Stacking with Additional Row | |