MinT - Information on Result #1008877

Information on Result #1008877

Linear OOA(7⁹², 5592402, F₇, 3, 10) (dual of [(5592402, 3), 16777114, 11]-NRT-code), using trace code based on linear OOA(49⁴⁶, 2796201, F₄₉, 3, 10) (dual of [(2796201, 3), 8388557, 11]-NRT-code), using

OOA 3-folding [i] based on linear OA(49⁴⁶, large, F₄₉, 10) (dual of [large, large−46, 11]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 25679568Â | 49⁵âˆ’1, defining interval IÂ =Â [0,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 11 [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(7⁹⁵, 5592403, F₇, 3, 10) (dual of [(5592403, 3), 16777114, 11]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(7⁹³, 5592402, F₇, 3, 10) (dual of [(5592402, 3), 16777113, 11]-NRT-code)	[i]	OOA Duplication
3	Linear OOA(7⁹⁴, 5592402, F₇, 3, 10) (dual of [(5592402, 3), 16777112, 11]-NRT-code)	[i]	OOA Duplication
4	Linear OOA(7⁹⁷, 5592410, F₇, 3, 10) (dual of [(5592410, 3), 16777133, 11]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
5	Linear OOA(7⁹⁸, 5592415, F₇, 3, 10) (dual of [(5592415, 3), 16777147, 11]-NRT-code)	[i]
6	Linear OOA(7⁹⁹, 5592423, F₇, 3, 10) (dual of [(5592423, 3), 16777170, 11]-NRT-code)	[i]
7	Linear OOA(7¹⁰⁰, 5592430, F₇, 3, 10) (dual of [(5592430, 3), 16777190, 11]-NRT-code)	[i]
8	Linear OOA(7¹⁰¹, 5592452, F₇, 3, 10) (dual of [(5592452, 3), 16777255, 11]-NRT-code)	[i]
9	Linear OOA(7¹⁰², 5592502, F₇, 3, 10) (dual of [(5592502, 3), 16777404, 11]-NRT-code)	[i]
10	Linear OOA(7¹⁰⁴, 5592510, F₇, 3, 10) (dual of [(5592510, 3), 16777426, 11]-NRT-code)	[i]
11	Linear OOA(7¹⁰⁵, 5593578, F₇, 3, 10) (dual of [(5593578, 3), 16780629, 11]-NRT-code)	[i]
12	Linear OOA(7¹⁰⁶, 5594754, F₇, 3, 10) (dual of [(5594754, 3), 16784156, 11]-NRT-code)	[i]