MinT - Information on Result #991265

Information on Result #991265

Linear OOA(81⁶⁵, 2796201, F₈₁, 3, 17) (dual of [(2796201, 3), 8388538, 18]-NRT-code), using OOA 3-folding based on linear OA(81⁶⁵, large, F₈₁, 17) (dual of [large, large−65, 18]-code), using

the expurgated narrow-sense BCH-code C(I) with length 21523361Â | 81⁸âˆ’1, defining interval IÂ =Â [0,8], and minimum distance dÂ â‰¥ |{−8,−7,…,8}|+1Â =Â 18 (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(81⁶⁸, 2796202, F₈₁, 3, 17) (dual of [(2796202, 3), 8388538, 18]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(81⁷¹, 2796203, F₈₁, 3, 17) (dual of [(2796203, 3), 8388538, 18]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
3	Linear OOA(81⁶⁶, 2796201, F₈₁, 3, 17) (dual of [(2796201, 3), 8388537, 18]-NRT-code)	[i]	OOA Duplication
4	Linear OOA(81⁶⁷, 2796201, F₈₁, 3, 17) (dual of [(2796201, 3), 8388536, 18]-NRT-code)	[i]	OOA Duplication
5	Linear OOA(9¹³⁰, 5592402, F₉, 3, 17) (dual of [(5592402, 3), 16777076, 18]-NRT-code)	[i]	Trace Code for OOAs
6	Linear OOA(81⁷³, 2796283, F₈₁, 3, 17) (dual of [(2796283, 3), 8388776, 18]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
7	Linear OOA(81⁷⁴, 2796301, F₈₁, 3, 17) (dual of [(2796301, 3), 8388829, 18]-NRT-code)	[i]
8	Linear OOA(81⁷⁵, 2796317, F₈₁, 3, 17) (dual of [(2796317, 3), 8388876, 18]-NRT-code)	[i]
9	Linear OOA(81⁷⁷, 2796365, F₈₁, 3, 17) (dual of [(2796365, 3), 8389018, 18]-NRT-code)	[i]
10	Linear OOA(81⁷⁸, 2796383, F₈₁, 3, 17) (dual of [(2796383, 3), 8389071, 18]-NRT-code)	[i]
11	Linear OOA(81⁷⁹, 2796401, F₈₁, 3, 17) (dual of [(2796401, 3), 8389124, 18]-NRT-code)	[i]
12	Linear OOA(81⁸⁰, 2798388, F₈₁, 3, 17) (dual of [(2798388, 3), 8395084, 18]-NRT-code)	[i]
13	Linear OOA(81⁸¹, 2798389, F₈₁, 3, 17) (dual of [(2798389, 3), 8395086, 18]-NRT-code)	[i]
14	Linear OOA(81⁸², 2798390, F₈₁, 3, 17) (dual of [(2798390, 3), 8395088, 18]-NRT-code)	[i]
15	Linear OOA(81⁷⁹, 2796447, F₈₁, 3, 17) (dual of [(2796447, 3), 8389262, 18]-NRT-code)	[i]