MinT - Information on Result #1837982

Information on Result #1837982

OOA(128⁷⁵, 2097407, S₁₂₈, 4, 18), using OOA 2-folding based on OOA(128⁷⁵, 4194814, S₁₂₈, 2, 18), using

discarding factors based on OOA(128⁷⁵, 4194815, S₁₂₈, 2, 18), using
- discarding parts of the base [i] based on linear OOA(256⁶⁵, 4194815, F₂₅₆, 2, 18) (dual of [(4194815, 2), 8389565, 19]-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(256⁵², 4194301, F₂₅₆, 2, 18) (dual of [(4194301, 2), 8388550, 19]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(256⁵², 8388602, F₂₅₆, 18) (dual of [8388602, 8388550, 19]-code), using
        discarding factors / shortening the dual code based on linear OA(256⁵², large, F₂₅₆, 18) (dual of [large, large−52, 19]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,17], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 19 [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.