MinT - Information on Result #1118802

Information on Result #1118802

Linear OOA(256⁶⁸, 3355958, F₂₅₆, 5, 14) (dual of [(3355958, 5), 16779722, 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(256⁴⁹, 1677979, F₂₅₆, 5, 14) (dual of [(1677979, 5), 8389846, 15]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(256⁹, 259, F₂₅₆, 5, 7) (dual of [(259, 5), 1286, 8]-NRT-code), using
    - extracting embedded OOA [i] based on digital (2, 9, 259)-net over F₂₅₆, using
      - net from sequence [i] based on digital (2, 258)-sequence over F₂₅₆, using
        Niederreiter sequence [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.

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.