MinT - Information on Result #1713177

Information on Result #1713177

Linear OOA(3¹⁴⁰, 2097210, F₃, 15, 13) (dual of [(2097210, 15), 31458010, 14]-NRT-code), using OOA 2-folding and stacking with additional row based on linear OOA(3¹⁴⁰, 4194421, F₃, 3, 13) (dual of [(4194421, 3), 12583123, 14]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁴⁰, 4194422, F₃, 3, 13) (dual of [(4194422, 3), 12583126, 14]-NRT-code), using
- embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(3¹⁴⁰, 4194422, F₃, 2, 13) (dual of [(4194422, 2), 8388704, 14]-NRT-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OOA(3¹⁹, 121, F₃, 2, 6) (dual of [(121, 2), 223, 7]-NRT-code), using
      - embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OA(3¹⁹, 121, F₃, 6) (dual of [121, 102, 7]-code), using
        1 times truncation [i] based on linear OA(3²⁰, 122, F₃, 7) (dual of [122, 102, 8]-code), using
        a â€œDaHâ€ code from Brouwerâ€™s database [i]
    2. linear OOA(3¹²¹, 4194301, F₃, 2, 13) (dual of [(4194301, 2), 8388481, 14]-NRT-code), using
      - OOA 2-folding [i] based on linear OA(3¹²¹, 8388602, F₃, 13) (dual of [8388602, 8388481, 14]-code), using
        discarding factors / shortening the dual code based on linear OA(3¹²¹, large, F₃, 13) (dual of [large, large−121, 14]-code), using
        the expurgated narrow-sense BCH-code C(I) with length 14348908Â | 3³⁰âˆ’1, defining interval IÂ =Â [0,6], and minimum distance dÂ â‰¥ |{−6,−5,…,6}|+1Â =Â 14 (BCH-bound) [i]

Mode: 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, 140, 2097210)-net over F₃	[i]		Net Defined by OOA