Information on Result #731810

Linear OA(8147, 154, F8, 114) (dual of [154, 7, 115]-code), using juxtaposition based on
  1. linear OA(865, 72, F8, 53) (dual of [72, 7, 54]-code), using
    • 1 times truncation [i] based on linear OA(866, 73, F8, 54) (dual of [73, 7, 55]-code), using
      • the BCH-code C(I) with length 73 | 83−1, defining interval I = {−9,12,33,…,9}, and designed minimum distance d ≥ |I|+1 = 55 [i]
  2. linear OA(875, 82, F8, 60) (dual of [82, 7, 61]-code), using
    • construction X applied to C([0,42]) ⊂ C({1,2,3,4,5,6,7,9,11,12,13,14,17,18,25,26,27,33,34,35,36,42}) [i] based on
      1. linear OA(870, 73, F8, 63) (dual of [73, 3, 64]-code), using the expurgated narrow-sense BCH-code C(I) with length 73 | 83−1, defining interval I = [0,42], and minimum distance d ≥ |{−20,−19,…,42}|+1 = 64 (BCH-bound) [i]
      2. linear OA(866, 73, F8, 54) (dual of [73, 7, 55]-code), using the cyclic code C(A) with length 73 | 83−1, defining set A = {1,2,3,4,5,6,7,9,11,12,13,14,17,18,25,26,27,33,34,35,36,42}, and minimum distance d ≥ |{−9,12,33,…,9}|+1 = 55 (BCH-bound) [i]
      3. linear OA(85, 9, F8, 5) (dual of [9, 4, 6]-code or 9-arc in PG(4,8)), 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(8147, 77, F8, 2, 114) (dual of [(77, 2), 7, 115]-NRT-code) [i]OOA Folding