MinT - Information on Result #1118800

Information on Result #1118800

Linear OOA(256⁶⁶, 3355954, F₂₅₆, 5, 14) (dual of [(3355954, 5), 16779704, 15]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(256¹⁹, 2796200, F₂₅₆, 5, 7) (dual of [(2796200, 5), 13980981, 8]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OA(256¹⁹, 8388601, F₂₅₆, 7) (dual of [8388601, 8388582, 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]
linear OOA(256⁴⁷, 1677977, F₂₅₆, 5, 14) (dual of [(1677977, 5), 8389838, 15]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(256⁷, 257, F₂₅₆, 5, 7) (dual of [(257, 5), 1278, 8]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(5;1278,256) [i]
  2. linear OOA(256⁴⁰, 1677720, F₂₅₆, 5, 14) (dual of [(1677720, 5), 8388560, 15]-NRT-code), using
    - OOA 5-folding [i] based on linear OA(256⁴⁰, 8388600, F₂₅₆, 14) (dual of [8388600, 8388560, 15]-code), using
      - discarding factors / shortening the dual code based on linear OA(256⁴⁰, large, F₂₅₆, 14) (dual of [large, large−40, 15]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [i]

Mode: Constructive and linear.

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