MinT - Information on Result #1189071

Information on Result #1189071

Linear OOA(5¹⁴³, 1048601, F₅, 18, 16) (dual of [(1048601, 18), 18874675, 17]-NRT-code), using OOA 4-folding and stacking with additional row based on linear OOA(5¹⁴³, 4194405, F₅, 2, 16) (dual of [(4194405, 2), 8388667, 17]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(5²², 104, F₅, 2, 8) (dual of [(104, 2), 186, 9]-NRT-code), using
  - extracting embedded OOA [i] based on digital (14, 22, 104)-net over F₅, using
    - trace code for nets [i] based on digital (3, 11, 52)-net over F₂₅, using
      - net from sequence [i] based on digital (3, 51)-sequence over F₂₅, using
        Niederreiterâ€“Xing sequence constructionÂ II/III [i] based on function field F/F₂₅ with g(F) = 3 and N(F) ≥ 52, using
        a function field by GarcÃa and Quoos [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.

Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (127, 143, 1048601)-net over F₅	[i]		Net Defined by OOA