MinT - Information on Result #2431711

Information on Result #2431711

Linear OOA(3¹²¹, 4194301, F₃, 2, 12) (dual of [(4194301, 2), 8388481, 13]-NRT-code), using strength reduction based on 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: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(3¹²¹, 4194301, F₃, 3, 12) (dual of [(4194301, 3), 12582782, 13]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3¹²¹, 4194301, F₃, 4, 12) (dual of [(4194301, 4), 16777083, 13]-NRT-code)	[i]
3	Linear OOA(3¹²¹, 4194301, F₃, 5, 12) (dual of [(4194301, 5), 20971384, 13]-NRT-code)	[i]
4	Digital (109, 121, 4194301)-net over F₃	[i]