Information on Result #737188

Linear OA(4258, 262235, F4, 35) (dual of [262235, 261977, 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, 90, F4, 9) (dual of [90, 67, 10]-code), using
    • construction X applied to C({2,5,6,14,17,21}) ⊂ C({2,5,6,14,17}) [i] based on
      1. linear OA(422, 85, F4, 9) (dual of [85, 63, 10]-code), using the cyclic code C(A) with length 85 | 44−1, defining set A = {2,5,6,14,17,21}, and minimum distance d ≥ |{−4,−1,2,…,20}|+1 = 10 (BCH-bound) [i]
      2. linear OA(418, 85, F4, 7) (dual of [85, 67, 8]-code), using the cyclic code C(A) with length 85 | 44−1, defining set A = {2,5,6,14,17}, and minimum distance d ≥ |{2,5,8,…,20}|+1 = 8 (BCH-bound) [i]
      3. linear OA(41, 5, F4, 1) (dual of [5, 4, 2]-code), 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:

ResultThis
result
only		Method
1Linear OOA(4258, 131117, F4, 2, 35) (dual of [(131117, 2), 261976, 36]-NRT-code) [i]OOA Folding
2Linear OOA(4258, 87411, F4, 3, 35) (dual of [(87411, 3), 261975, 36]-NRT-code) [i]