MinT - Information on Result #1061179

Information on Result #1061179

Linear OOA(3²⁴², 2097151, F₃, 4, 24) (dual of [(2097151, 4), 8388362, 25]-NRT-code), using OOA 2-folding based on linear OOA(3²⁴², 4194302, F₃, 2, 24) (dual of [(4194302, 2), 8388362, 25]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(3²⁴⁰, 4194301, F₃, 2, 24) (dual of [(4194301, 2), 8388362, 25]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3²⁴⁰, 8388602, F₃, 24) (dual of [8388602, 8388362, 25]-code), using
  - discarding factors / shortening the dual code based on linear OA(3²⁴⁰, large, F₃, 24) (dual of [large, large−240, 25]-code), using
    - the primitive narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [1,24], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 25 [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(3²⁴⁶, 2097152, F₃, 4, 24) (dual of [(2097152, 4), 8388362, 25]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(3²⁵⁰, 2097153, F₃, 4, 24) (dual of [(2097153, 4), 8388362, 25]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
3	Linear OOA(3²⁴⁴, 2097151, F₃, 4, 24) (dual of [(2097151, 4), 8388360, 25]-NRT-code)	[i]	OOA Duplication
4	Linear OOA(3²⁴⁵, 2097151, F₃, 4, 24) (dual of [(2097151, 4), 8388359, 25]-NRT-code)	[i]	OOA Duplication
5	Linear OOA(3²⁴², 2097151, F₃, 5, 24) (dual of [(2097151, 5), 10485513, 25]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
6	Digital (218, 242, 2097151)-net over F₃	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound