MinT - Information on Result #1837960

Information on Result #1837960

OOA(128⁷⁰, 2097407, S₁₂₈, 4, 17), using OOA 2-folding based on OOA(128⁷⁰, 4194814, S₁₂₈, 2, 17), using

discarding factors based on OOA(128⁷⁰, 4194815, S₁₂₈, 2, 17), using
- discarding parts of the base [i] based on linear OOA(256⁶¹, 4194815, F₂₅₆, 2, 17) (dual of [(4194815, 2), 8389569, 18]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(256¹², 514, F₂₅₆, 2, 8) (dual of [(514, 2), 1016, 9]-NRT-code), using
      - (u,Â u+v)-construction [i] based on
        linear OOA(256⁴, 257, F₂₅₆, 2, 4) (dual of [(257, 2), 510, 5]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;510,256) [i]
        linear OOA(256⁸, 257, F₂₅₆, 2, 8) (dual of [(257, 2), 506, 9]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;506,256) [i]
    2. linear OOA(256⁴⁹, 4194301, F₂₅₆, 2, 17) (dual of [(4194301, 2), 8388553, 18]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(256⁴⁹, 8388602, F₂₅₆, 17) (dual of [8388602, 8388553, 18]-code), using
        discarding factors / shortening the dual code 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.