Information on Result #690712
Linear OA(9132, 373, F9, 55) (dual of [373, 241, 56]-code), using construction X applied to Ce(54) ⊂ Ce(51) based on
- linear OA(9130, 365, F9, 55) (dual of [365, 235, 56]-code), using an extension Ce(54) of the narrow-sense BCH-code C(I) with length 364 | 93−1, defining interval I = [1,54], and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(9124, 365, F9, 52) (dual of [365, 241, 53]-code), using an extension Ce(51) of the narrow-sense BCH-code C(I) with length 364 | 93−1, defining interval I = [1,51], and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(92, 8, F9, 2) (dual of [8, 6, 3]-code or 8-arc in PG(1,9)), using
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), using
- Reed–Solomon code RS(7,9) [i]
- discarding factors / shortening the dual code based on linear OA(92, 9, F9, 2) (dual of [9, 7, 3]-code or 9-arc in PG(1,9)), 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(9132, 186, F9, 2, 55) (dual of [(186, 2), 240, 56]-NRT-code) | [i] | OOA Folding | |