MinT - Information on Result #1837869

Information on Result #1837869

OOA(128⁵³, 2097407, S₁₂₈, 4, 13), using OOA 2-folding based on OOA(128⁵³, 4194814, S₁₂₈, 2, 13), using

discarding factors based on OOA(128⁵³, 4194815, S₁₂₈, 2, 13), using
- discarding parts of the base [i] based on linear OOA(256⁴⁶, 4194815, F₂₅₆, 2, 13) (dual of [(4194815, 2), 8389584, 14]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(256⁹, 514, F₂₅₆, 2, 6) (dual of [(514, 2), 1019, 7]-NRT-code), using
      - (u,Â u+v)-construction [i] based on
        linear OOA(256³, 257, F₂₅₆, 2, 3) (dual of [(257, 2), 511, 4]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;511,256) [i]
        linear OOA(256⁶, 257, F₂₅₆, 2, 6) (dual of [(257, 2), 508, 7]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;508,256) [i]
    2. linear OOA(256³⁷, 4194301, F₂₅₆, 2, 13) (dual of [(4194301, 2), 8388565, 14]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(256³⁷, 8388602, F₂₅₆, 13) (dual of [8388602, 8388565, 14]-code), using
        discarding factors / shortening the dual code based on linear OA(256³⁷, large, F₂₅₆, 13) (dual of [large, large−37, 14]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,12], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 14 [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.