MinT - Information on Result #1834632

Information on Result #1834632

OOA(128⁷¹, 4194301, S₁₂₈, 3, 15), using OOA 2-folding based on OOA(128⁷¹, 8388602, S₁₂₈, 2, 15), using

discarding parts of the base [i] based on linear OOA(256⁶², 8388602, F₂₅₆, 2, 15) (dual of [(8388602, 2), 16777142, 16]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(256¹⁹, 4194301, F₂₅₆, 2, 7) (dual of [(4194301, 2), 8388583, 8]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(256¹⁹, 8388602, F₂₅₆, 7) (dual of [8388602, 8388583, 8]-code), using
      - discarding factors / shortening the dual code based on linear OA(256¹⁹, large, F₂₅₆, 7) (dual of [large, large−19, 8]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,6], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 8 [i]
  2. linear OOA(256⁴³, 4194301, F₂₅₆, 2, 15) (dual of [(4194301, 2), 8388559, 16]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(256⁴³, 8388602, F₂₅₆, 15) (dual of [8388602, 8388559, 16]-code), using
      - discarding factors / shortening the dual code based on linear OA(256⁴³, large, F₂₅₆, 15) (dual of [large, large−43, 16]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,14], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [i]

Mode: Constructive.

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.