Information on Result #707308
Linear OA(4127, 352, F4, 38) (dual of [352, 225, 39]-code), using construction XX applied to C1 = C([313,8]), C2 = C([312,6]), C3 = C1 + C2 = C([313,6]), and C∩ = C1 ∩ C2 = C([312,8]) based on
- linear OA(4121, 341, F4, 37) (dual of [341, 220, 38]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−28,−27,…,8}, and designed minimum distance d ≥ |I|+1 = 38 [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(4126, 341, F4, 38) (dual of [341, 215, 39]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {−29,−28,…,8}, and designed minimum distance d ≥ |I|+1 = 39 [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 = {−28,−27,…,6}, 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 OA(4128, 353, F4, 38) (dual of [353, 225, 39]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4127, 176, F4, 2, 38) (dual of [(176, 2), 225, 39]-NRT-code) | [i] | OOA Folding | |