Information on Result #676471

Linear OA(3208, 771, F3, 47) (dual of [771, 563, 48]-code), using construction X applied to C([0,24]) ⊂ C([0,19]) based on
  1. linear OA(3193, 730, F3, 49) (dual of [730, 537, 50]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,24], and minimum distance d ≥ |{−24,−23,…,24}|+1 = 50 (BCH-bound) [i]
  2. linear OA(3157, 730, F3, 39) (dual of [730, 573, 40]-code), using the expurgated narrow-sense BCH-code C(I) with length 730 | 312−1, defining interval I = [0,19], and minimum distance d ≥ |{−19,−18,…,19}|+1 = 40 (BCH-bound) [i]
  3. linear OA(315, 41, F3, 7) (dual of [41, 26, 8]-code), using
    • an extension Ce(6) of the narrow-sense BCH-code C(I) with length 40 | 34−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [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

None.