Information on Result #716947
Linear OA(8170, 551, F8, 60) (dual of [551, 381, 61]-code), using construction XX applied to C1 = C([27,81]), C2 = C([22,75]), C3 = C1 + C2 = C([27,75]), and C∩ = C1 ∩ C2 = C([22,81]) based on
- linear OA(8145, 511, F8, 55) (dual of [511, 366, 56]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {27,28,…,81}, and designed minimum distance d ≥ |I|+1 = 56 [i]
- linear OA(8142, 511, F8, 54) (dual of [511, 369, 55]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {22,23,…,75}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(8157, 511, F8, 60) (dual of [511, 354, 61]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {22,23,…,81}, and designed minimum distance d ≥ |I|+1 = 61 [i]
- linear OA(8130, 511, F8, 49) (dual of [511, 381, 50]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {27,28,…,75}, and designed minimum distance d ≥ |I|+1 = 50 [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(86, 18, F8, 4) (dual of [18, 12, 5]-code), using
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-code), using
- 1 times truncation [i] based on linear OA(87, 57, F8, 5) (dual of [57, 50, 6]-code) (see above)
- discarding factors / shortening the dual code based on linear OA(86, 56, F8, 4) (dual of [56, 50, 5]-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(8170, 275, F8, 2, 60) (dual of [(275, 2), 380, 61]-NRT-code) | [i] | OOA Folding | |