MinT - Information on Result #1059965

Information on Result #1059965

Linear OOA(3¹³⁸, 2097151, F₃, 4, 14) (dual of [(2097151, 4), 8388466, 15]-NRT-code), using OOA 2-folding based on linear OOA(3¹³⁸, 4194302, F₃, 2, 14) (dual of [(4194302, 2), 8388466, 15]-NRT-code), using

1 times NRT-code embedding in larger space [i] 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, 2097152, F₃, 4, 14) (dual of [(2097152, 4), 8388466, 15]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(3¹³⁹, 2097151, F₃, 4, 14) (dual of [(2097151, 4), 8388465, 15]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(3¹⁴⁰, 2097151, F₃, 4, 14) (dual of [(2097151, 4), 8388464, 15]-NRT-code)	[i]
4	Linear OOA(3¹⁴¹, 2097151, F₃, 4, 14) (dual of [(2097151, 4), 8388463, 15]-NRT-code)	[i]
5	Linear OOA(3¹⁵², 2097185, F₃, 4, 14) (dual of [(2097185, 4), 8388588, 15]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
6	Linear OOA(3¹⁵⁹, 2097235, F₃, 4, 14) (dual of [(2097235, 4), 8388781, 15]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs