Information on Result #690784

Linear OA(970, 90, F9, 48) (dual of [90, 20, 49]-code), using construction X applied to C([0,99]) ⊂ C([0,83]) based on
  1. linear OA(965, 80, F9, 50) (dual of [80, 15, 51]-code), using contraction [i] based on linear OA(9145, 160, F9, 101) (dual of [160, 15, 102]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,99], and minimum distance d ≥ |{−1,0,…,99}|+1 = 102 (BCH-bound) [i]
  2. linear OA(959, 80, F9, 42) (dual of [80, 21, 43]-code), using contraction [i] based on linear OA(9139, 160, F9, 85) (dual of [160, 21, 86]-code), using the expurgated narrow-sense BCH-code C(I) with length 160 | 94−1, defining interval I = [0,83], and minimum distance d ≥ |{−1,0,…,83}|+1 = 86 (BCH-bound) [i]
  3. linear OA(95, 10, F9, 5) (dual of [10, 5, 6]-code or 10-arc in PG(4,9)), 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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only		Method
1Linear OA(3229, 267, F3, 97) (dual of [267, 38, 98]-code) [i]Concatenation of Two Codes
2Linear OA(3228, 264, F3, 97) (dual of [264, 36, 98]-code) [i]
3Linear OA(3227, 261, F3, 97) (dual of [261, 34, 98]-code) [i]
4Linear OOA(970, 45, F9, 2, 48) (dual of [(45, 2), 20, 49]-NRT-code) [i]OOA Folding