Information on Result #1021567

Linear OOA(5144, 5593002, F5, 3, 12) (dual of [(5593002, 3), 16778862, 13]-NRT-code), using generalized (u, u+v)-construction based on
  1. linear OOA(512, 600, F5, 3, 4) (dual of [(600, 3), 1788, 5]-NRT-code), using
  2. linear OOA(541, 2796201, F5, 3, 6) (dual of [(2796201, 3), 8388562, 7]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(541, large, F5, 6) (dual of [large, large−41, 7]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
  3. linear OOA(591, 2796201, F5, 3, 12) (dual of [(2796201, 3), 8388512, 13]-NRT-code), using
    • OOA 3-folding [i] based on linear OA(591, large, F5, 12) (dual of [large, large−91, 13]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 9765624 = 510−1, defining interval I = [0,11], and designed minimum distance d ≥ |I|+1 = 13 [i]

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

The following results depend on this result:

ResultThis
result
only		Method
1Linear OOA(5145, 5593002, F5, 3, 12) (dual of [(5593002, 3), 16778861, 13]-NRT-code) [i]OOA Duplication
2Linear OOA(5144, 2796500, F5, 15, 12) (dual of [(2796500, 15), 41947356, 13]-NRT-code) [i]OOA Folding and Stacking with Additional Row