MinT - Information on Result #1185810

Information on Result #1185810

Digital (54, 60, 2811623)-net over F₄, using net defined by OOA based on linear OOA(4⁶⁰, 2811623, F₄, 9, 6) (dual of [(2811623, 9), 25304547, 7]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(4⁶⁰, 2811624, F₄, 3, 6) (dual of [(2811624, 3), 8434812, 7]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(4¹¹, 15423, F₄, 3, 3) (dual of [(15423, 3), 46258, 4]-NRT-code), using
    - appending kth column [i] based on linear OOA(4¹¹, 15423, F₄, 2, 3) (dual of [(15423, 2), 30835, 4]-NRT-code), using
      - OAs with strength 3, bÂ â‰ Â 2, and mÂ >Â 3 are always embeddable [i] based on linear OA(4¹¹, 15423, F₄, 3) (dual of [15423, 15412, 4]-code or 15423-cap in PG(10,4)), using
        caps completed using a computer search [i]
  2. linear OOA(4⁴⁹, 2796201, F₄, 3, 6) (dual of [(2796201, 3), 8388554, 7]-NRT-code), using
    - OOA 3-folding [i] based on linear OA(4⁴⁹, large, F₄, 6) (dual of [large, large−49, 7]-code), using
      - the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [0,5], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [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.