MinT - Information on Result #1722804

Information on Result #1722804

Digital (107, 123, 1398100)-net over F₅, using net defined by OOA based on linear OOA(5¹²³, 1398100, F₅, 21, 16) (dual of [(1398100, 21), 29359977, 17]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(5¹²³, 4194301, F₅, 3, 16) (dual of [(4194301, 3), 12582780, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5¹²³, 4194302, F₅, 3, 16) (dual of [(4194302, 3), 12582783, 17]-NRT-code), using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(5¹²³, 4194302, F₅, 2, 16) (dual of [(4194302, 2), 8388481, 17]-NRT-code), using
    - 1 times NRT-code embedding in larger space [i] based on 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: 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.