Information on Result #707214
Linear OA(4116, 346, F4, 35) (dual of [346, 230, 36]-code), using construction X applied to C([312,5]) ⊂ C([313,5]) 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 = {−29,−28,…,5}, and designed minimum distance d ≥ |I|+1 = 36 [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
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(4117, 347, F4, 35) (dual of [347, 230, 36]-code) | [i] | Code Embedding in Larger Space | |
| 2 | Linear OOA(4116, 173, F4, 2, 35) (dual of [(173, 2), 230, 36]-NRT-code) | [i] | OOA Folding | |