Information on Result #903158

Linear OOA(4944, 5764810, F49, 2, 8) (dual of [(5764810, 2), 11529576, 9]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(4914, 2882405, F49, 2, 4) (dual of [(2882405, 2), 5764796, 5]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(4914, 5764810, F49, 4) (dual of [5764810, 5764796, 5]-code), using
      • construction X applied to Ce(3) ⊂ Ce(1) [i] based on
        1. linear OA(4913, 5764801, F49, 4) (dual of [5764801, 5764788, 5]-code), using an extension Ce(3) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,3], and designed minimum distance d ≥ |I|+1 = 4 [i]
        2. linear OA(495, 5764801, F49, 2) (dual of [5764801, 5764796, 3]-code), using an extension Ce(1) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,1], and designed minimum distance d ≥ |I|+1 = 2 [i]
        3. linear OA(491, 9, F49, 1) (dual of [9, 8, 2]-code), using
  2. linear OOA(4930, 2882405, F49, 2, 8) (dual of [(2882405, 2), 5764780, 9]-NRT-code), using
    • OOA 2-folding [i] based on linear OA(4930, 5764810, F49, 8) (dual of [5764810, 5764780, 9]-code), using
      • construction X applied to Ce(7) ⊂ Ce(5) [i] based on
        1. linear OA(4929, 5764801, F49, 8) (dual of [5764801, 5764772, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
        2. linear OA(4921, 5764801, F49, 6) (dual of [5764801, 5764780, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 5764800 = 494−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
        3. linear OA(491, 9, F49, 1) (dual of [9, 8, 2]-code) (see above)

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.