Information on Result #715016
Linear OA(833, 531, F8, 11) (dual of [531, 498, 12]-code), using construction XX applied to C1 = C([65,73]), C2 = C([69,75]), C3 = C1 + C2 = C([69,73]), and C∩ = C1 ∩ C2 = C([65,75]) based on
- linear OA(822, 511, F8, 9) (dual of [511, 489, 10]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {65,66,…,73}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(819, 511, F8, 7) (dual of [511, 492, 8]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {69,70,…,75}, and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(828, 511, F8, 11) (dual of [511, 483, 12]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {65,66,…,75}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(813, 511, F8, 5) (dual of [511, 498, 6]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {69,70,71,72,73}, and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(84, 13, F8, 3) (dual of [13, 9, 4]-code or 13-cap in PG(3,8)), using
- linear OA(81, 7, F8, 1) (dual of [7, 6, 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(833, 177, F8, 3, 11) (dual of [(177, 3), 498, 12]-NRT-code) | [i] | OOA Folding | |