MinT - Information on Result #893967

Information on Result #893967

Linear OOA(7⁸², 8388602, F₇, 2, 9) (dual of [(8388602, 2), 16777122, 10]-NRT-code), using trace code based on linear OOA(49⁴¹, 4194301, F₄₉, 2, 9) (dual of [(4194301, 2), 8388561, 10]-NRT-code), using

OOA 2-folding [i] based on linear OA(49⁴¹, 8388602, F₄₉, 9) (dual of [8388602, 8388561, 10]-code), using
- discarding factors / shortening the dual code based on linear OA(49⁴¹, large, F₄₉, 9) (dual of [large, large−41, 10]-code), using
  - the expurgated narrow-sense BCH-code C(I) with length 28247525Â | 49¹⁰âˆ’1, defining interval IÂ =Â [0,4], and minimum distance dÂ â‰¥ |{−4,−3,…,4}|+1Â =Â 10 (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(7⁸⁴, large, F₇, 2, 9)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(7⁸⁶, large, F₇, 2, 9)	[i]
3	Linear OOA(7⁸⁸, large, F₇, 2, 9)	[i]
4	Linear OOA(7⁹⁰, large, F₇, 2, 9)	[i]
5	Linear OOA(7⁹², large, F₇, 2, 9)	[i]
6	Linear OOA(7⁹⁴, large, F₇, 2, 9)	[i]
7	Linear OOA(7⁹⁶, large, F₇, 2, 9)	[i]
8	Linear OOA(7⁹⁸, large, F₇, 2, 9)	[i]
9	Linear OOA(7¹⁰⁰, large, F₇, 2, 9)	[i]
10	Linear OOA(7¹⁰², large, F₇, 2, 9)	[i]
11	Linear OOA(7¹⁰⁴, large, F₇, 2, 9)	[i]
12	Linear OOA(7¹⁰⁶, large, F₇, 2, 9)	[i]
13	Linear OOA(7¹⁰⁸, large, F₇, 2, 9)	[i]
14	Linear OOA(7¹¹⁰, large, F₇, 2, 9)	[i]
15	Linear OOA(7⁸³, 8388602, F₇, 2, 9) (dual of [(8388602, 2), 16777121, 10]-NRT-code)	[i]	OOA Duplication
16	Linear OOA(7⁸², 4194301, F₇, 3, 9) (dual of [(4194301, 3), 12582821, 10]-NRT-code)	[i]	OOA Folding
17	Linear OOA(7⁸², 4194300, F₇, 10, 9) (dual of [(4194300, 10), 41942918, 10]-NRT-code)	[i]	OOA Folding and Stacking with Additional Row