MinT - Information on Result #1466344

Information on Result #1466344

Linear OOA(3¹⁴⁰, 4194422, F₃, 2, 13) (dual of [(4194422, 2), 8388704, 14]-NRT-code), using (u,Â u+v)-construction based on

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]
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.

None.

The following results depend on this result:

	Result		Method
1	Linear OOA(3¹⁴⁰, 4194422, F₃, 3, 13) (dual of [(4194422, 3), 12583126, 14]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3¹⁴⁰, 4194422, F₃, 4, 13) (dual of [(4194422, 4), 16777548, 14]-NRT-code)	[i]
3	Linear OOA(3¹⁴⁰, 4194422, F₃, 5, 13) (dual of [(4194422, 5), 20971970, 14]-NRT-code)	[i]
4	Digital (127, 140, 4194422)-net over F₃	[i]