MinT - Information on Result #1060709

Information on Result #1060709

Linear OOA(3¹⁹⁸, 2097151, F₃, 4, 20) (dual of [(2097151, 4), 8388406, 21]-NRT-code), using OOA 2-folding based on linear OOA(3¹⁹⁸, 4194302, F₃, 2, 20) (dual of [(4194302, 2), 8388406, 21]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(3¹⁹⁶, 4194301, F₃, 2, 20) (dual of [(4194301, 2), 8388406, 21]-NRT-code), using
- OOA 2-folding [i] based on linear OA(3¹⁹⁶, 8388602, F₃, 20) (dual of [8388602, 8388406, 21]-code), using
  - discarding factors / shortening the dual code based on linear OA(3¹⁹⁶, large, F₃, 20) (dual of [large, large−196, 21]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,19], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 21 [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(3²⁰², 2097152, F₃, 4, 20) (dual of [(2097152, 4), 8388406, 21]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(3¹⁹⁹, 2097151, F₃, 4, 20) (dual of [(2097151, 4), 8388405, 21]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(3²⁰⁰, 2097151, F₃, 4, 20) (dual of [(2097151, 4), 8388404, 21]-NRT-code)	[i]
4	Linear OOA(3²⁰¹, 2097151, F₃, 4, 20) (dual of [(2097151, 4), 8388403, 21]-NRT-code)	[i]
5	Linear OOA(3²²⁸, 2097235, F₃, 4, 20) (dual of [(2097235, 4), 8388712, 21]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
6	Linear OOA(3²³¹, 2097265, F₃, 4, 20) (dual of [(2097265, 4), 8388829, 21]-NRT-code)	[i]
7	Linear OOA(3²³⁸, 2097479, F₃, 4, 20) (dual of [(2097479, 4), 8389678, 21]-NRT-code)	[i]