MinT - Information on Result #1060071

Information on Result #1060071

Linear OOA(3¹⁵², 2097151, F₃, 4, 15) (dual of [(2097151, 4), 8388452, 16]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁵², 4194302, F₃, 2, 15) (dual of [(4194302, 2), 8388452, 16]-NRT-code), using

1 times NRT-code embedding in larger space [i] 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(3¹⁵⁶, 2097152, F₃, 4, 15) (dual of [(2097152, 4), 8388452, 16]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(3¹⁵⁴, 2097151, F₃, 4, 15) (dual of [(2097151, 4), 8388450, 16]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(3¹⁵⁵, 2097151, F₃, 4, 15) (dual of [(2097151, 4), 8388449, 16]-NRT-code)	[i]	OOA Duplication
4	Linear OOA(3¹⁶⁶, 2097185, F₃, 4, 15) (dual of [(2097185, 4), 8388574, 16]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
5	Linear OOA(3¹⁷³, 2097235, F₃, 4, 15) (dual of [(2097235, 4), 8388767, 16]-NRT-code)	[i]
6	Linear OOA(3²¹³, 4194302, F₃, 4, 15) (dual of [(4194302, 4), 16776995, 16]-NRT-code)	[i]