Information on Result #707245
Linear OA(4165, 346, F4, 51) (dual of [346, 181, 52]-code), using construction X applied to C([90,140]) ⊂ C([91,140]) based on
- linear OA(4165, 341, F4, 51) (dual of [341, 176, 52]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {90,91,…,140}, and designed minimum distance d ≥ |I|+1 = 52 [i]
- linear OA(4160, 341, F4, 50) (dual of [341, 181, 51]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {91,92,…,140}, and designed minimum distance d ≥ |I|+1 = 51 [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 OOA(4165, 173, F4, 2, 51) (dual of [(173, 2), 181, 52]-NRT-code) | [i] | OOA Folding |