Information on Result #735584

Linear OA(12871, 16777, F128, 25) (dual of [16777, 16706, 26]-code), using (u, u+v)-construction based on
  1. linear OA(12821, 387, F128, 12) (dual of [387, 366, 13]-code), using
    • construction X applied to Ce(11) ⊂ Ce(9) [i] based on
      1. linear OA(12820, 382, F128, 12) (dual of [382, 362, 13]-code), using an extension Ce(11) of the narrow-sense BCH-code C(I) with length 381 | 1282−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
      2. 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]
      3. linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code), using
  2. linear OA(12850, 16390, F128, 25) (dual of [16390, 16340, 26]-code), using
    • construction X applied to C([0,12]) ⊂ C([0,11]) [i] based on
      1. linear OA(12849, 16385, F128, 25) (dual of [16385, 16336, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
      2. linear OA(12845, 16385, F128, 23) (dual of [16385, 16340, 24]-code), using the expurgated narrow-sense BCH-code C(I) with length 16385 | 1284−1, defining interval I = [0,11], and minimum distance d ≥ |{−11,−10,…,11}|+1 = 24 (BCH-bound) [i]
      3. linear OA(1281, 5, F128, 1) (dual of [5, 4, 2]-code) (see above)

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.