Information on Result #714987
Linear OA(829, 526, F8, 10) (dual of [526, 497, 11]-code), using construction XX applied to C1 = C([65,72]), C2 = C([69,74]), C3 = C1 + C2 = C([69,72]), and C∩ = C1 ∩ C2 = C([65,74]) based on
- linear OA(821, 511, F8, 8) (dual of [511, 490, 9]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {65,66,…,72}, and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(816, 511, F8, 6) (dual of [511, 495, 7]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {69,70,…,74}, and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(825, 511, F8, 10) (dual of [511, 486, 11]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {65,66,…,74}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(812, 511, F8, 4) (dual of [511, 499, 5]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {69,70,71,72}, and designed minimum distance d ≥ |I|+1 = 5 [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(829, 263, F8, 2, 10) (dual of [(263, 2), 497, 11]-NRT-code) | [i] | OOA Folding | |