Information on Result #715204
Linear OA(860, 540, F8, 20) (dual of [540, 480, 21]-code), using construction XX applied to C1 = C([56,73]), C2 = C([62,75]), C3 = C1 + C2 = C([62,73]), and C∩ = C1 ∩ C2 = C([56,75]) based on
- linear OA(846, 511, F8, 18) (dual of [511, 465, 19]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {56,57,…,73}, and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(837, 511, F8, 14) (dual of [511, 474, 15]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {62,63,…,75}, and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(852, 511, F8, 20) (dual of [511, 459, 21]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {56,57,…,75}, and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(831, 511, F8, 12) (dual of [511, 480, 13]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {62,63,…,73}, and designed minimum distance d ≥ |I|+1 = 13 [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, 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(860, 270, F8, 2, 20) (dual of [(270, 2), 480, 21]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(860, 180, F8, 3, 20) (dual of [(180, 3), 480, 21]-NRT-code) | [i] | ||