MinT - Information on Result #1205471

Information on Result #1205471

Digital (126, 138, 5592402)-net over F₈, using trace code for nets based on digital (57, 69, 2796201)-net over F₆₄, using

net defined by OOA [i] based on linear OOA(64⁶⁹, 2796201, F₆₄, 15, 12) (dual of [(2796201, 15), 41942946, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(64⁶⁹, 5592403, F₆₄, 3, 12) (dual of [(5592403, 3), 16777140, 13]-NRT-code), using
  - 1 times NRT-code embedding in larger space [i] based on linear OOA(64⁶⁶, 5592402, F₆₄, 3, 12) (dual of [(5592402, 3), 16777140, 13]-NRT-code), using
    - (u,Â u+v)-construction [i] based on
      1. linear OOA(64²¹, 2796201, F₆₄, 3, 6) (dual of [(2796201, 3), 8388582, 7]-NRT-code), using
        OOA 3-folding [i] based on linear OA(64²¹, large, F₆₄, 6) (dual of [large, large−21, 7]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,5], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [i]
      2. linear OOA(64⁴⁵, 2796201, F₆₄, 3, 12) (dual of [(2796201, 3), 8388558, 13]-NRT-code), using
        OOA 3-folding [i] based on linear OA(64⁴⁵, large, F₆₄, 12) (dual of [large, large−45, 13]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 64⁴âˆ’1, defining interval IÂ =Â [0,11], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 13 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

None.