Information on Result #1145016

Linear OOA(25666, 5592402, F256, 6, 12) (dual of [(5592402, 6), 33554346, 13]-NRT-code), using (u, u+v)-construction based on
  1. linear OOA(25616, 2796201, F256, 6, 6) (dual of [(2796201, 6), 16777190, 7]-NRT-code), using
    • OA 3-folding and stacking [i] based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code), using
      • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, defining interval I = [0,5], and designed minimum distance d ≥ |I|+1 = 7 [i]
  2. linear OOA(25650, 2796201, F256, 6, 12) (dual of [(2796201, 6), 16777156, 13]-NRT-code), using
    • OOA 2-folding [i] based on linear OOA(25650, 5592402, F256, 3, 12) (dual of [(5592402, 3), 16777156, 13]-NRT-code), using
      • (u, u+v)-construction [i] based on
        1. linear OOA(25616, 2796201, F256, 3, 6) (dual of [(2796201, 3), 8388587, 7]-NRT-code), using
          • OOA 3-folding [i] based on linear OA(25616, large, F256, 6) (dual of [large, large−16, 7]-code) (see above)
        2. linear OOA(25634, 2796201, F256, 3, 12) (dual of [(2796201, 3), 8388569, 13]-NRT-code), using
          • OOA 3-folding [i] based on linear OA(25634, large, F256, 12) (dual of [large, large−34, 13]-code), using
            • the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 2563−1, 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(25666, 5592401, F256, 18, 12) (dual of [(5592401, 18), 100663152, 13]-NRT-code) [i]OOA Stacking with Additional Row