Information on Result #716931
Linear OA(8155, 526, F8, 58) (dual of [526, 371, 59]-code), using construction XX applied to C1 = C([17,72]), C2 = C([21,74]), C3 = C1 + C2 = C([21,72]), and C∩ = C1 ∩ C2 = C([17,74]) based on
- linear OA(8147, 511, F8, 56) (dual of [511, 364, 57]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {17,18,…,72}, and designed minimum distance d ≥ |I|+1 = 57 [i]
- linear OA(8142, 511, F8, 54) (dual of [511, 369, 55]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {21,22,…,74}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(8151, 511, F8, 58) (dual of [511, 360, 59]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {17,18,…,74}, and designed minimum distance d ≥ |I|+1 = 59 [i]
- linear OA(8138, 511, F8, 52) (dual of [511, 373, 53]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {21,22,…,72}, and designed minimum distance d ≥ |I|+1 = 53 [i]
- linear OA(83, 10, F8, 3) (dual of [10, 7, 4]-code or 10-arc in PG(2,8) or 10-cap in PG(2,8)), using
- linear OA(81, 5, F8, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), using
- Reed–Solomon code RS(7,8) [i]
- discarding factors / shortening the dual code based on linear OA(81, 8, F8, 1) (dual of [8, 7, 2]-code), 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(8155, 263, F8, 2, 58) (dual of [(263, 2), 371, 59]-NRT-code) | [i] | OOA Folding | |