Information on Result #700226
Linear OA(12841, 392, F128, 23) (dual of [392, 351, 24]-code), using construction X applied to Ce(22) ⊂ Ce(18) based on
- linear OA(12838, 382, F128, 23) (dual of [382, 344, 24]-code), using an extension Ce(22) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [i]
- linear OA(12831, 382, F128, 19) (dual of [382, 351, 20]-code), using an extension Ce(18) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(1283, 10, F128, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,128) or 10-cap in PG(2,128)), using
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
- Reed–Solomon code RS(125,128) [i]
- discarding factors / shortening the dual code based on linear OA(1283, 128, F128, 3) (dual of [128, 125, 4]-code or 128-arc in PG(2,128) or 128-cap in PG(2,128)), using
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(12841, 196, F128, 2, 23) (dual of [(196, 2), 351, 24]-NRT-code) | [i] | OOA Folding | |