Information on Result #707254
Linear OA(4175, 346, F4, 54) (dual of [346, 171, 55]-code), using construction X applied to C([62,115]) ⊂ C([63,115]) based on
- linear OA(4175, 341, F4, 54) (dual of [341, 166, 55]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {62,63,…,115}, and designed minimum distance d ≥ |I|+1 = 55 [i]
- linear OA(4170, 341, F4, 53) (dual of [341, 171, 54]-code), using the BCH-code C(I) with length 341 | 45−1, defining interval I = {63,64,…,115}, and designed minimum distance d ≥ |I|+1 = 54 [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(4175, 173, F4, 2, 54) (dual of [(173, 2), 171, 55]-NRT-code) | [i] | OOA Folding |