Information on Result #697961
Linear OA(32109, 352, F32, 59) (dual of [352, 243, 60]-code), using construction X applied to Ce(58) ⊂ Ce(54) based on
- linear OA(32106, 342, F32, 59) (dual of [342, 236, 60]-code), using an extension Ce(58) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,58], and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(3299, 342, F32, 55) (dual of [342, 243, 56]-code), using an extension Ce(54) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(323, 10, F32, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,32) or 10-cap in PG(2,32)), using
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), using
- Reed–Solomon code RS(29,32) [i]
- discarding factors / shortening the dual code based on linear OA(323, 32, F32, 3) (dual of [32, 29, 4]-code or 32-arc in PG(2,32) or 32-cap in PG(2,32)), 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(32109, 176, F32, 2, 59) (dual of [(176, 2), 243, 60]-NRT-code) | [i] | OOA Folding | |