Information on Result #735680

Linear OA(12876, 2097545, F128, 20) (dual of [2097545, 2097469, 21]-code), using (u, u+v)-construction based on
  1. linear OA(12817, 386, F128, 10) (dual of [386, 369, 11]-code), using
    • construction X applied to Ce(9) ⊂ Ce(7) [i] based on
      1. linear OA(12816, 382, F128, 10) (dual of [382, 366, 11]-code), using an extension Ce(9) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
      2. linear OA(12813, 382, F128, 8) (dual of [382, 369, 9]-code), using an extension Ce(7) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
      3. linear OA(1281, 4, F128, 1) (dual of [4, 3, 2]-code), using
  2. linear OA(12859, 2097159, F128, 20) (dual of [2097159, 2097100, 21]-code), using
    • construction X applied to Ce(19) ⊂ Ce(17) [i] based on
      1. linear OA(12858, 2097152, F128, 20) (dual of [2097152, 2097094, 21]-code), using an extension Ce(19) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,19], and designed minimum distance d ≥ |I|+1 = 20 [i]
      2. linear OA(12852, 2097152, F128, 18) (dual of [2097152, 2097100, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 2097151 = 1283−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
      3. linear OA(1281, 7, F128, 1) (dual of [7, 6, 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

None.