MinT - Information on Result #903575

Information on Result #903575

Linear OOA(64³⁸, 4198333, F₆₄, 2, 8) (dual of [(4198333, 2), 8396628, 9]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(64⁹, 4032, F₆₄, 2, 4) (dual of [(4032, 2), 8055, 5]-NRT-code), using
- OOA 2-folding [i] based on linear OA(64⁹, 8064, F₆₄, 4) (dual of [8064, 8055, 5]-code), using
  - discarding factors / shortening the dual code based on linear OA(64⁹, 8065, F₆₄, 4) (dual of [8065, 8056, 5]-code), using
    - 1 times truncation [i] based on linear OA(64¹⁰, 8066, F₆₄, 5) (dual of [8066, 8056, 6]-code), using
      - (u,Â u+v)-construction [i] based on
        linear OA(64³, 4033, F₆₄, 2) (dual of [4033, 4030, 3]-code), using
        discarding factors / shortening the dual code based on linear OA(64³, 4161, F₆₄, 2) (dual of [4161, 4158, 3]-code), using
        Hamming code H(3,64) [i]
        linear OA(64⁷, 4033, F₆₄, 5) (dual of [4033, 4026, 6]-code), using
        a code by Danev and Olsson [i]
linear OOA(64²⁹, 4194301, F₆₄, 2, 8) (dual of [(4194301, 2), 8388573, 9]-NRT-code), using
- OOA 2-folding [i] based on linear OA(64²⁹, 8388602, F₆₄, 8) (dual of [8388602, 8388573, 9]-code), using
  - discarding factors / shortening the dual code based on linear OA(64²⁹, large, F₆₄, 8) (dual of [large, large−29, 9]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,7], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]

Mode: Constructive and linear.

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