MinT - Information on Result #1019909

Information on Result #1019909

Linear OOA(256³⁷, 5592918, F₂₅₆, 3, 8) (dual of [(5592918, 3), 16778717, 9]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(256¹⁰, 4194301, F₂₅₆, 3, 4) (dual of [(4194301, 3), 12582893, 5]-NRT-code), using
- OA 2-folding and stacking [i] based on linear OA(256¹⁰, 8388602, F₂₅₆, 4) (dual of [8388602, 8388592, 5]-code), using
  - discarding factors / shortening the dual code based on linear OA(256¹⁰, large, F₂₅₆, 4) (dual of [large, large−10, 5]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,3], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 5 [i]
linear OOA(256²⁷, 2796459, F₂₅₆, 3, 8) (dual of [(2796459, 3), 8389350, 9]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(256⁵, 258, F₂₅₆, 3, 4) (dual of [(258, 3), 769, 5]-NRT-code), using
    - extracting embedded OOA [i] based on digital (1, 5, 258)-net over F₂₅₆, using
      - net from sequence [i] based on digital (1, 257)-sequence over F₂₅₆, using
        Niederreiter sequence [i]
  2. linear OOA(256²², 2796201, F₂₅₆, 3, 8) (dual of [(2796201, 3), 8388581, 9]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(256²², large, F₂₅₆, 8) (dual of [large, large−22, 9]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’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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