Information on Result #689935

Linear OA(977, 746, F9, 27) (dual of [746, 669, 28]-code), using construction X applied to C([0,13]) ⊂ C([0,11]) based on
  1. linear OA(973, 730, F9, 27) (dual of [730, 657, 28]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,13], and minimum distance d ≥ |{−13,−12,…,13}|+1 = 28 (BCH-bound) [i]
  2. linear OA(961, 730, F9, 23) (dual of [730, 669, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 96−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
  3. linear OA(94, 16, F9, 3) (dual of [16, 12, 4]-code or 16-cap in PG(3,9)), 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

ResultThis
result
only
Method
1Linear OOA(977, 373, F9, 2, 27) (dual of [(373, 2), 669, 28]-NRT-code) [i]OOA Folding