Information on Result #678337

Linear OA(4257, 262230, F4, 35) (dual of [262230, 261973, 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(422, 85, F4, 9) (dual of [85, 63, 10]-code), using
    • the BCH-code C(I) with length 85 | 44−1, defining interval I = {−20,−17,−14,…,4}, and designed minimum distance d ≥ |I|+1 = 10 [i]

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:

ResultThis
result
only		Method
1Linear OOA(4257, 131115, F4, 2, 35) (dual of [(131115, 2), 261973, 36]-NRT-code) [i]OOA Folding
2Linear OOA(4257, 87410, F4, 3, 35) (dual of [(87410, 3), 261973, 36]-NRT-code) [i]