Information on Result #697965
Linear OA(32103, 354, F32, 55) (dual of [354, 251, 56]-code), using construction X applied to Ce(54) ⊂ Ce(49) based on
- 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(3291, 342, F32, 50) (dual of [342, 251, 51]-code), using an extension Ce(49) of the narrow-sense BCH-code C(I) with length 341 | 322−1, defining interval I = [1,49], and designed minimum distance d ≥ |I|+1 = 50 [i]
- linear OA(324, 12, F32, 4) (dual of [12, 8, 5]-code or 12-arc in PG(3,32)), using
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), using
- Reed–Solomon code RS(28,32) [i]
- discarding factors / shortening the dual code based on linear OA(324, 32, F32, 4) (dual of [32, 28, 5]-code or 32-arc in PG(3,32)), 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(32103, 177, F32, 2, 55) (dual of [(177, 2), 251, 56]-NRT-code) | [i] | OOA Folding | |