MinT - Information on Result #1838003

Information on Result #1838003

OOA(128⁷⁸, 2097407, S₁₂₈, 4, 19), using OOA 2-folding based on OOA(128⁷⁸, 4194814, S₁₂₈, 2, 19), using

discarding factors based on OOA(128⁷⁸, 4194815, S₁₂₈, 2, 19), using
- discarding parts of the base [i] based on linear OOA(256⁶⁸, 4194815, F₂₅₆, 2, 19) (dual of [(4194815, 2), 8389562, 20]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(256¹³, 514, F₂₅₆, 2, 9) (dual of [(514, 2), 1015, 10]-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(256⁹, 257, F₂₅₆, 2, 9) (dual of [(257, 2), 505, 10]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;505,256) [i]
    2. linear OOA(256⁵⁵, 4194301, F₂₅₆, 2, 19) (dual of [(4194301, 2), 8388547, 20]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(256⁵⁵, 8388602, F₂₅₆, 19) (dual of [8388602, 8388547, 20]-code), using
        discarding factors / shortening the dual code based on linear OA(256⁵⁵, large, F₂₅₆, 19) (dual of [large, large−55, 20]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,18], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 20 [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.