MinT - Information on Result #1189074

Information on Result #1189074

Digital (129, 145, 1048614)-net over F₅, using net defined by OOA based on linear OOA(5¹⁴⁵, 1048614, F₅, 18, 16) (dual of [(1048614, 18), 18874907, 17]-NRT-code), using

OOA 4-folding and stacking with additional row [i] based on linear OOA(5¹⁴⁵, 4194457, F₅, 2, 16) (dual of [(4194457, 2), 8388769, 17]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(5²⁴, 156, F₅, 2, 8) (dual of [(156, 2), 288, 9]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(5²⁴, 312, F₅, 8) (dual of [312, 288, 9]-code), using
      - discarding factors / shortening the dual code based on linear OA(5²⁴, 313, F₅, 8) (dual of [313, 289, 9]-code), using
        the BCH-code C(I) with length 313Â | 5⁸âˆ’1, defining interval IÂ =Â {125,134,143,…,188}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 9 [i]
  2. linear OOA(5¹²¹, 4194301, F₅, 2, 16) (dual of [(4194301, 2), 8388481, 17]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(5¹²¹, 8388602, F₅, 16) (dual of [8388602, 8388481, 17]-code), using
      - discarding factors / shortening the dual code based on linear OA(5¹²¹, large, F₅, 16) (dual of [large, large−121, 17]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 9765624Â = 5¹⁰âˆ’1, defining interval IÂ =Â [0,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 17 [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.