Information on Result #708619
Linear OA(4156, 1051, F4, 40) (dual of [1051, 895, 41]-code), using construction XX applied to C1 = C([309,346]), C2 = C([307,342]), C3 = C1 + C2 = C([309,342]), and C∩ = C1 ∩ C2 = C([307,346]) based on
- linear OA(4141, 1023, F4, 38) (dual of [1023, 882, 39]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {309,310,…,346}, and designed minimum distance d ≥ |I|+1 = 39 [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 = {307,308,…,342}, and designed minimum distance d ≥ |I|+1 = 37 [i]
- linear OA(4151, 1023, F4, 40) (dual of [1023, 872, 41]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {307,308,…,346}, and designed minimum distance d ≥ |I|+1 = 41 [i]
- 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 = {309,310,…,342}, and designed minimum distance d ≥ |I|+1 = 35 [i]
- linear OA(44, 17, F4, 3) (dual of [17, 13, 4]-code or 17-cap in PG(3,4)), 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(4156, 525, F4, 2, 40) (dual of [(525, 2), 894, 41]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4156, 350, F4, 3, 40) (dual of [(350, 3), 894, 41]-NRT-code) | [i] | ||