Information on Result #715113
Linear OA(851, 537, F8, 17) (dual of [537, 486, 18]-code), using construction XX applied to C1 = C([67,81]), C2 = C([65,75]), C3 = C1 + C2 = C([67,75]), and C∩ = C1 ∩ C2 = C([65,81]) based on
- linear OA(840, 511, F8, 15) (dual of [511, 471, 16]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {67,68,…,81}, and designed minimum distance d ≥ |I|+1 = 16 [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(843, 511, F8, 17) (dual of [511, 468, 18]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {65,66,…,81}, and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(825, 511, F8, 9) (dual of [511, 486, 10]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {67,68,…,75}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(87, 22, F8, 5) (dual of [22, 15, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code), using
- linear OA(81, 4, F8, 1) (dual of [4, 3, 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(851, 179, F8, 3, 17) (dual of [(179, 3), 486, 18]-NRT-code) | [i] | OOA Folding | |