MinT - Information on Result #1837034

Information on Result #1837034

OOA(128⁷⁸, 5592660, S₁₂₈, 3, 14), using (u,Â u+v)-construction based on

OOA(128²⁵, 2796330, S₁₂₈, 3, 7), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(128³, 129, F₁₂₈, 3, 3) (dual of [(129, 3), 384, 4]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(3;384,128) [i]
  2. OOA(128²², 2796201, S₁₂₈, 3, 7), using
    - OOA 3-folding [i] based on OA(128²², large, S₁₂₈, 7), using
      - discarding parts of the base [i] based on linear OA(256¹⁹, large, F₂₅₆, 7) (dual of [large, large−19, 8]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,6], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 8 [i]
OOA(128⁵³, 2796330, S₁₂₈, 3, 14), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(128⁷, 129, F₁₂₈, 3, 7) (dual of [(129, 3), 380, 8]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(3;380,128) [i]
  2. OOA(128⁴⁶, 2796201, S₁₂₈, 3, 14), using
    - OOA 3-folding [i] based on OA(128⁴⁶, large, S₁₂₈, 14), using
      - discarding parts of the base [i] based on linear OA(256⁴⁰, large, F₂₅₆, 14) (dual of [large, large−40, 15]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [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.