Information on Result #707305
Linear OA(4121, 351, F4, 36) (dual of [351, 230, 37]-code), using construction XX applied to C1 = C([313,6]), C2 = C([312,5]), C3 = C1 + C2 = C([313,5]), and C∩ = C1 ∩ C2 = C([312,6]) based on
- linear OA(4116, 341, F4, 35) (dual of [341, 225, 36]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−28,−27,…,6}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(4116, 341, F4, 35) (dual of [341, 225, 36]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−29,−28,…,5}, and designed minimum distance d ≥ |I|+1 = 36 [i]
- linear OA(4121, 341, F4, 36) (dual of [341, 220, 37]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−29,−28,…,6}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(4111, 341, F4, 34) (dual of [341, 230, 35]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−28,−27,…,5}, and designed minimum distance d ≥ |I|+1 = 35 [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(4121, 175, F4, 2, 36) (dual of [(175, 2), 229, 37]-NRT-code) | [i] | OOA Folding | |