MinT - Information on Result #2485943

Information on Result #2485943

Linear OOA(3¹⁴², 4194304, F₃, 2, 14) (dual of [(4194304, 2), 8388466, 15]-NRT-code), using 3 times NRT-code embedding in larger space based on linear OOA(3¹³⁶, 4194301, F₃, 2, 14) (dual of [(4194301, 2), 8388466, 15]-NRT-code), using

OOA 2-folding [i] based on linear OA(3¹³⁶, 8388602, F₃, 14) (dual of [8388602, 8388466, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(3¹³⁶, large, F₃, 14) (dual of [large, large−136, 15]-code), using
  - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,13], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 15 [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(3¹⁴², 2900247, F₃, 3, 14) (dual of [(2900247, 3), 8700599, 15]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(3¹⁴², 2900247, F₃, 4, 14) (dual of [(2900247, 4), 11600846, 15]-NRT-code)	[i]
3	Linear OOA(3¹⁴², 2900247, F₃, 5, 14) (dual of [(2900247, 5), 14501093, 15]-NRT-code)	[i]
4	Digital (128, 142, 2900247)-net over F₃	[i]