Information on Result #707262
Linear OA(440, 351, F4, 11) (dual of [351, 311, 12]-code), using construction XX applied to C1 = C([107,116]), C2 = C([106,115]), C3 = C1 + C2 = C([107,115]), and C∩ = C1 ∩ C2 = C([106,116]) based on
- linear OA(435, 341, F4, 10) (dual of [341, 306, 11]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {107,108,…,116}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(435, 341, F4, 10) (dual of [341, 306, 11]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {106,107,…,115}, and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(440, 341, F4, 11) (dual of [341, 301, 12]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {106,107,…,116}, and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(430, 341, F4, 9) (dual of [341, 311, 10]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {107,108,…,115}, and designed minimum distance d ≥ |I|+1 = 10 [i]
- 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
- linear OA(40, 5, F4, 0) (dual of [5, 5, 1]-code) (see above)
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(440, 175, F4, 2, 11) (dual of [(175, 2), 310, 12]-NRT-code) | [i] | OOA Folding | |