MinT - Information on Result #844341

Information on Result #844341

Linear OOA(8¹⁴⁵, 4194301, F₈, 2, 21) (dual of [(4194301, 2), 8388457, 22]-NRT-code), using OOA 2-folding based on linear OA(8¹⁴⁵, 8388602, F₈, 21) (dual of [8388602, 8388457, 22]-code), using

discarding factors / shortening the dual code based on linear OA(8¹⁴⁵, large, F₈, 21) (dual of [large, large−145, 22]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 8¹⁶âˆ’1, defining interval IÂ =Â [0,10], and minimum distance dÂ â‰¥ |{−10,−9,…,10}|+1Â =Â 22 (BCH-bound) [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(8¹⁴⁷, 4194302, F₈, 2, 21) (dual of [(4194302, 2), 8388457, 22]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(8¹⁴⁹, 4194303, F₈, 2, 21) (dual of [(4194303, 2), 8388457, 22]-NRT-code)	[i]
3	Linear OOA(8¹⁵¹, 4194304, F₈, 2, 21) (dual of [(4194304, 2), 8388457, 22]-NRT-code)	[i]
4	Linear OOA(8¹⁵³, 4194305, F₈, 2, 21) (dual of [(4194305, 2), 8388457, 22]-NRT-code)	[i]
5	Linear OOA(8¹⁴⁶, 4194301, F₈, 2, 21) (dual of [(4194301, 2), 8388456, 22]-NRT-code)	[i]	OOA Duplication
6	Linear OOA(8¹⁵⁵, 4194310, F₈, 2, 21) (dual of [(4194310, 2), 8388465, 22]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
7	Linear OOA(8¹⁵⁶, 4194315, F₈, 2, 21) (dual of [(4194315, 2), 8388474, 22]-NRT-code)	[i]
8	Linear OOA(8¹⁵⁷, 4194318, F₈, 2, 21) (dual of [(4194318, 2), 8388479, 22]-NRT-code)	[i]
9	Linear OOA(8¹⁵⁸, 4194325, F₈, 2, 21) (dual of [(4194325, 2), 8388492, 22]-NRT-code)	[i]
10	Linear OOA(8¹⁵⁹, 4194326, F₈, 2, 21) (dual of [(4194326, 2), 8388493, 22]-NRT-code)	[i]
11	Linear OOA(8¹⁶⁰, 4194329, F₈, 2, 21) (dual of [(4194329, 2), 8388498, 22]-NRT-code)	[i]
12	Linear OOA(8¹⁶¹, 4194333, F₈, 2, 21) (dual of [(4194333, 2), 8388505, 22]-NRT-code)	[i]
13	OOA(8¹⁶¹, 4194334, S₈, 2, 21)	[i]