MinT - Information on Result #2486065

Information on Result #2486065

Linear OOA(3¹⁵⁴, 4194303, F₃, 2, 15) (dual of [(4194303, 2), 8388452, 16]-NRT-code), using 2 times NRT-code embedding in larger space based on linear OOA(3¹⁵⁰, 4194301, F₃, 2, 15) (dual of [(4194301, 2), 8388452, 16]-NRT-code), using

OOA 2-folding [i] based on linear OA(3¹⁵⁰, 8388602, F₃, 15) (dual of [8388602, 8388452, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3¹⁵⁰, large, F₃, 15) (dual of [large, large−150, 16]-code), using
  - the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [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(3¹⁵⁵, 4194303, F₃, 2, 15) (dual of [(4194303, 2), 8388451, 16]-NRT-code)	[i]	OOA Duplication
2	Linear OOA(3¹⁵⁴, 2923248, F₃, 3, 15) (dual of [(2923248, 3), 8769590, 16]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
3	Linear OOA(3¹⁵⁴, 2923248, F₃, 4, 15) (dual of [(2923248, 4), 11692838, 16]-NRT-code)	[i]
4	Linear OOA(3¹⁵⁴, 2923248, F₃, 5, 15) (dual of [(2923248, 5), 14616086, 16]-NRT-code)	[i]
5	Digital (139, 154, 2923248)-net over F₃	[i]