MinT - Information on Result #905562

Information on Result #905562

Linear OOA(256³⁴, 4259581, F₂₅₆, 2, 9) (dual of [(4259581, 2), 8519128, 10]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(256⁹, 65280, F₂₅₆, 2, 4) (dual of [(65280, 2), 130551, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(256⁹, 130560, F₂₅₆, 4) (dual of [130560, 130551, 5]-code), using
  - discarding factors / shortening the dual code based on linear OA(256⁹, 130561, F₂₅₆, 4) (dual of [130561, 130552, 5]-code), using
    - 1 times truncation [i] based on linear OA(256¹⁰, 130562, F₂₅₆, 5) (dual of [130562, 130552, 6]-code), using
      - (u,Â u+v)-construction [i] based on
        linear OA(256³, 65281, F₂₅₆, 2) (dual of [65281, 65278, 3]-code), using
        discarding factors / shortening the dual code based on linear OA(256³, 65793, F₂₅₆, 2) (dual of [65793, 65790, 3]-code), using
        Hamming code H(3,256) [i]
        linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
        a code by Danev and Olsson [i]
linear OOA(256²⁵, 4194301, F₂₅₆, 2, 9) (dual of [(4194301, 2), 8388577, 10]-NRT-code), using
- OOA 2-folding [i] based on linear OA(256²⁵, 8388602, F₂₅₆, 9) (dual of [8388602, 8388577, 10]-code), using
  - discarding factors / shortening the dual code based on linear OA(256²⁵, large, F₂₅₆, 9) (dual of [large, large−25, 10]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,8], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [i]

Mode: Constructive and linear.

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