Information on Result #707274
Linear OA(491, 352, F4, 26) (dual of [352, 261, 27]-code), using construction XX applied to C1 = C([91,115]), C2 = C([90,113]), C3 = C1 + C2 = C([91,113]), and C∩ = C1 ∩ C2 = C([90,115]) based on
- linear OA(485, 341, F4, 25) (dual of [341, 256, 26]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {91,92,…,115}, and designed minimum distance d ≥ |I|+1 = 26 [i]
- linear OA(485, 341, F4, 24) (dual of [341, 256, 25]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {90,91,…,113}, and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(490, 341, F4, 26) (dual of [341, 251, 27]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {90,91,…,115}, and designed minimum distance d ≥ |I|+1 = 27 [i]
- linear OA(480, 341, F4, 23) (dual of [341, 261, 24]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {91,92,…,113}, and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(41, 6, F4, 1) (dual of [6, 5, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(41, s, F4, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 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 OA(492, 353, F4, 26) (dual of [353, 261, 27]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(491, 176, F4, 2, 26) (dual of [(176, 2), 261, 27]-NRT-code) | [i] | OOA Folding | |