MinT - Information on Result #1722800

Information on Result #1722800

Digital (105, 121, 1181646)-net over F₅, using net defined by OOA based on linear OOA(5¹²¹, 1181646, F₅, 21, 16) (dual of [(1181646, 21), 24814445, 17]-NRT-code), using

OOA 3-folding and stacking with additional row [i] based on linear OOA(5¹²¹, 3544939, F₅, 3, 16) (dual of [(3544939, 3), 10634696, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5¹²¹, 3544941, F₅, 3, 16) (dual of [(3544941, 3), 10634702, 17]-NRT-code), using
  - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(5¹²¹, 3544941, F₅, 2, 16) (dual of [(3544941, 2), 7089761, 17]-NRT-code), using
    - discarding factors / shortening the dual code 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.