MinT - Information on Result #1183058

Information on Result #1183058

Digital (56, 65, 14769)-net over F₃, using net defined by OOA based on linear OOA(3⁶⁵, 14769, F₃, 12, 9) (dual of [(14769, 12), 177163, 10]-NRT-code), using

OOA stacking with additional row [i] based on linear OOA(3⁶⁵, 14770, F₃, 4, 9) (dual of [(14770, 4), 59015, 10]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁵, 8, F₃, 4, 4) (dual of [(8, 4), 27, 5]-NRT-code), using
    - appending kth column [i] based on linear OOA(3⁵, 8, F₃, 3, 4) (dual of [(8, 3), 19, 5]-NRT-code), using
      - extracting embedded OOA [i] based on digital (1, 5, 8)-net over F₃, using
        nets constructed from net-embeddable BCH codes [i]
  2. linear OOA(3⁶⁰, 14762, F₃, 4, 9) (dual of [(14762, 4), 58988, 10]-NRT-code), using
    - OOA 4-folding [i] based on linear OA(3⁶⁰, 59048, F₃, 9) (dual of [59048, 58988, 10]-code), using
      - the primitive narrow-sense BCH-code C(I) with length 59048Â = 3¹⁰âˆ’1, defining interval IÂ =Â [1,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [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.