Information on Result #715475
Linear OA(877, 536, F8, 27) (dual of [536, 459, 28]-code), using construction XX applied to C1 = C([48,73]), C2 = C([54,74]), C3 = C1 + C2 = C([54,73]), and C∩ = C1 ∩ C2 = C([48,74]) based on
- linear OA(867, 511, F8, 26) (dual of [511, 444, 27]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {48,49,…,73}, and designed minimum distance d ≥ |I|+1 = 27 [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 = {54,55,…,74}, and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(870, 511, F8, 27) (dual of [511, 441, 28]-code), using the primitive BCH-code C(I) with length 511 = 83−1, defining interval I = {48,49,…,74}, and designed minimum distance d ≥ |I|+1 = 28 [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 = {54,55,…,73}, and designed minimum distance d ≥ |I|+1 = 21 [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(80, 3, F8, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(80, s, F8, 0) (dual of [s, s, 1]-code) for arbitrarily large s, 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(877, 268, F8, 2, 27) (dual of [(268, 2), 459, 28]-NRT-code) | [i] | OOA Folding | |