MinT - Information on Result #1837833

Information on Result #1837833

OOA(128⁴⁶, 2113599, S₁₂₈, 4, 11), using OOA 2-folding based on OOA(128⁴⁶, 4227198, S₁₂₈, 2, 11), using

discarding parts of the base [i] based on linear OOA(256⁴⁰, 4227198, F₂₅₆, 2, 11) (dual of [(4227198, 2), 8454356, 12]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(256⁹, 32897, F₂₅₆, 2, 5) (dual of [(32897, 2), 65785, 6]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(256², 257, F₂₅₆, 2, 2) (dual of [(257, 2), 512, 3]-NRT-code), using
        extended Reedâ€“Solomon NRT-code RS_e(2;512,256) [i]
      2. linear OOA(256⁷, 32640, F₂₅₆, 2, 5) (dual of [(32640, 2), 65273, 6]-NRT-code), using
        OOA 2-folding [i] based on linear OA(256⁷, 65280, F₂₅₆, 5) (dual of [65280, 65273, 6]-code), using
        discarding factors / shortening the dual code based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
        a code by Danev and Olsson [i]
  2. linear OOA(256³¹, 4194301, F₂₅₆, 2, 11) (dual of [(4194301, 2), 8388571, 12]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(256³¹, 8388602, F₂₅₆, 11) (dual of [8388602, 8388571, 12]-code), using
      - discarding factors / shortening the dual code based on linear OA(256³¹, large, F₂₅₆, 11) (dual of [large, large−31, 12]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 12 [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.