Information on Result #708610
Linear OA(4142, 1034, F4, 38) (dual of [1034, 892, 39]-code), using construction XX applied to C1 = C([305,341]), C2 = C([307,342]), C3 = C1 + C2 = C([307,341]), and C∩ = C1 ∩ C2 = C([305,342]) based on
- linear OA(4136, 1023, F4, 37) (dual of [1023, 887, 38]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {305,306,…,341}, and designed minimum distance d ≥ |I|+1 = 38 [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(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 = {305,306,…,342}, and designed minimum distance d ≥ |I|+1 = 39 [i]
- linear OA(4131, 1023, F4, 35) (dual of [1023, 892, 36]-code), using the primitive BCH-code C(I) with length 1023 = 45−1, defining interval I = {307,308,…,341}, and designed minimum distance d ≥ |I|+1 = 36 [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 OOA(4142, 517, F4, 2, 38) (dual of [(517, 2), 892, 39]-NRT-code) | [i] | OOA Folding | |
| 2 | Linear OOA(4142, 344, F4, 3, 38) (dual of [(344, 3), 890, 39]-NRT-code) | [i] | ||