MinT - Information on Result #1837000

Information on Result #1837000

OOA(128⁷¹, 5592660, S₁₂₈, 3, 13), using (u,Â u+v)-construction based on

OOA(128²², 2796330, S₁₂₈, 3, 6), 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(128¹⁹, 2796201, S₁₂₈, 3, 6), using
    - OOA 3-folding [i] based on OA(128¹⁹, large, S₁₂₈, 6), using
      - discarding parts of the base [i] based on linear OA(256¹⁶, large, F₂₅₆, 6) (dual of [large, large−16, 7]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 256³âˆ’1, defining interval IÂ =Â [0,5], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [i]
OOA(128⁴⁹, 2796330, S₁₂₈, 3, 13), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(128⁶, 129, F₁₂₈, 3, 6) (dual of [(129, 3), 381, 7]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(3;381,128) [i]
  2. OOA(128⁴³, 2796201, S₁₂₈, 3, 13), using
    - OOA 3-folding [i] based on OA(128⁴³, large, S₁₂₈, 13), using
      - discarding parts of the base [i] 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.