MinT - Information on Result #1837958

Information on Result #1837958

OOA(128⁶⁸, 2097280, S₁₂₈, 4, 17), using OOA 2-folding based on OOA(128⁶⁸, 4194560, S₁₂₈, 2, 17), using

(u,Â u+v)-construction [i] based on
1. OOA(128¹², 259, S₁₂₈, 2, 8), using
  - extracting embedded OOA [i] based on (4, 12, 259)-net in base 128, using
    - 4 times m-reduction [i] based on (4, 16, 259)-net in base 128, using
      - base change [i] based on digital (2, 14, 259)-net over F₂₅₆, using
        net from sequence [i] based on digital (2, 258)-sequence over F₂₅₆, using
        Niederreiter sequence [i]
2. OOA(128⁵⁶, 4194301, S₁₂₈, 2, 17), using
  - OOA 2-folding [i] based on OA(128⁵⁶, 8388602, S₁₂₈, 17), using
    - discarding factors based on OA(128⁵⁶, large, S₁₂₈, 17), using
      - discarding parts of the base [i] based on linear OA(256⁴⁹, large, F₂₅₆, 17) (dual of [large, large−49, 18]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,16], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 18 [i]

Mode: Constructive.

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.