Information on Result #715251
Linear OA(863, 540, F8, 21) (dual of [540, 477, 22]-code), using construction XX applied to C1 = C([55,73]), C2 = C([61,75]), C3 = C1 + C2 = C([61,73]), and C∩ = C1 ∩ C2 = C([55,75]) based on
- linear OA(849, 511, F8, 19) (dual of [511, 462, 20]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {55,56,…,73}, and designed minimum distance d ≥ |I|+1 = 20 [i]
- 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 = {61,62,…,75}, and designed minimum distance d ≥ |I|+1 = 16 [i]
- linear OA(855, 511, F8, 21) (dual of [511, 456, 22]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {55,56,…,75}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(834, 511, F8, 13) (dual of [511, 477, 14]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {61,62,…,73}, and designed minimum distance d ≥ |I|+1 = 14 [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(863, 270, F8, 2, 21) (dual of [(270, 2), 477, 22]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(863, 180, F8, 3, 21) (dual of [(180, 3), 477, 22]-NRT-code) | [i] | ||