MinT - Information on Result #822567

Information on Result #822567

Linear OOA(4⁴⁹, 4194301, F₄, 2, 6) (dual of [(4194301, 2), 8388553, 7]-NRT-code), using OOA 2-folding based on linear OA(4⁴⁹, 8388602, F₄, 6) (dual of [8388602, 8388553, 7]-code), using

discarding factors / shortening the dual code based on linear OA(4⁴⁹, large, F₄, 6) (dual of [large, large−49, 7]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215Â = 4¹²âˆ’1, defining interval IÂ =Â [0,5], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 7 [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(4⁵¹, 4194302, F₄, 2, 6) (dual of [(4194302, 2), 8388553, 7]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(4⁵⁰, 4194301, F₄, 2, 6) (dual of [(4194301, 2), 8388552, 7]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(4⁵², 4194306, F₄, 2, 6) (dual of [(4194306, 2), 8388560, 7]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
4	Linear OOA(4⁵³, 4194318, F₄, 2, 6) (dual of [(4194318, 2), 8388583, 7]-NRT-code)	[i]
5	Linear OOA(4⁵⁴, 4194342, F₄, 2, 6) (dual of [(4194342, 2), 8388630, 7]-NRT-code)	[i]
6	Linear OOA(4⁵⁵, 4194427, F₄, 2, 6) (dual of [(4194427, 2), 8388799, 7]-NRT-code)	[i]
7	Linear OOA(4⁵⁶, 4194589, F₄, 2, 6) (dual of [(4194589, 2), 8389122, 7]-NRT-code)	[i]
8	Linear OOA(4⁵⁷, 4195057, F₄, 2, 6) (dual of [(4195057, 2), 8390057, 7]-NRT-code)	[i]
9	Linear OOA(4⁵⁸, 4196411, F₄, 2, 6) (dual of [(4196411, 2), 8392764, 7]-NRT-code)	[i]
10	Linear OOA(4⁵⁹, 4199341, F₄, 2, 6) (dual of [(4199341, 2), 8398623, 7]-NRT-code)	[i]
11	Linear OOA(4⁶⁰, 4209724, F₄, 2, 6) (dual of [(4209724, 2), 8419388, 7]-NRT-code)	[i]
12	Linear OOA(4⁶¹, 4228867, F₄, 2, 6) (dual of [(4228867, 2), 8457673, 7]-NRT-code)	[i]