Information on Result #708442
Linear OA(4142, 1054, F4, 36) (dual of [1054, 912, 37]-code), using construction XX applied to C1 = C([313,346]), C2 = C([311,342]), C3 = C1 + C2 = C([313,342]), and C∩ = C1 ∩ C2 = C([311,346]) based on
- linear OA(4126, 1023, F4, 34) (dual of [1023, 897, 35]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {313,314,…,346}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(4121, 1023, F4, 32) (dual of [1023, 902, 33]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {311,312,…,342}, and designed minimum distance d ≥ |I|+1 = 33 [i]
- linear OA(4136, 1023, F4, 36) (dual of [1023, 887, 37]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {311,312,…,346}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(4111, 1023, F4, 30) (dual of [1023, 912, 31]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {313,314,…,342}, and designed minimum distance d ≥ |I|+1 = 31 [i]
- linear OA(45, 20, F4, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,4)), using
- discarding factors / shortening the dual code based on linear OA(45, 41, F4, 3) (dual of [41, 36, 4]-code or 41-cap in PG(4,4)), using
- linear OA(41, 11, F4, 1) (dual of [11, 10, 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
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(4142, 527, F4, 2, 36) (dual of [(527, 2), 912, 37]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4142, 351, F4, 3, 36) (dual of [(351, 3), 911, 37]-NRT-code) | [i] | ||