Information on Result #1323550

Linear OA(4258, 262240, F4, 35) (dual of [262240, 261982, 36]-code), using construction X applied to C([0,17]) ⊂ C([0,12]) based on
  1. linear OA(4235, 262145, F4, 35) (dual of [262145, 261910, 36]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,17], and minimum distance d ≥ |{−17,−16,…,17}|+1 = 36 (BCH-bound) [i]
  2. linear OA(4163, 262145, F4, 25) (dual of [262145, 261982, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 262145 | 418−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
  3. linear OA(423, 95, F4, 9) (dual of [95, 72, 10]-code), using

Mode: 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:

ResultThis
result
only
Method
1Linear OA(4259, 262241, F4, 35) (dual of [262241, 261982, 36]-code) [i]Code Embedding in Larger Space
2Linear OA(4260, 262243, F4, 35) (dual of [262243, 261983, 36]-code) [i]Construction X with VarÅ¡amov Bound
3Linear OOA(4258, 131120, F4, 2, 35) (dual of [(131120, 2), 261982, 36]-NRT-code) [i]OOA Folding