MinT - Information on Result #2417739

Information on Result #2417739

Linear OOA(2⁸⁴, 48, F₂, 2, 46) (dual of [(48, 2), 12, 47]-NRT-code), using strength reduction based on linear OOA(2⁸⁴, 48, F₂, 2, 47) (dual of [(48, 2), 12, 48]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(8¹², 16, F₈, 11) (dual of [16, 4, 12]-code), using
  - a code by Marcugini, Milani, and Pambianco [i]
2. linear OOA(2³, 3, F₂, 2, 3) (dual of [(3, 2), 3, 4]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;3,2) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(2⁸⁶, 49, F₂, 2, 46) (dual of [(49, 2), 12, 47]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(2⁸⁸, 50, F₂, 2, 46) (dual of [(50, 2), 12, 47]-NRT-code)	[i]
3	Linear OOA(2⁹⁰, 51, F₂, 2, 46) (dual of [(51, 2), 12, 47]-NRT-code)	[i]
4	Linear OOA(2⁸⁵, 48, F₂, 2, 46) (dual of [(48, 2), 11, 47]-NRT-code)	[i]	OOA Duplication
5	Linear OOA(2⁸³, 47, F₂, 2, 45) (dual of [(47, 2), 11, 46]-NRT-code)	[i]	Truncation for OOAs
6	Linear OOA(2⁸², 47, F₂, 2, 44) (dual of [(47, 2), 12, 45]-NRT-code)	[i]
7	Linear OOA(2⁸¹, 46, F₂, 2, 43) (dual of [(46, 2), 11, 44]-NRT-code)	[i]
8	Linear OOA(2⁸⁰, 46, F₂, 2, 42) (dual of [(46, 2), 12, 43]-NRT-code)	[i]
9	Linear OOA(2⁷⁹, 45, F₂, 2, 41) (dual of [(45, 2), 11, 42]-NRT-code)	[i]
10	Linear OOA(2¹⁷⁹, 96, F₂, 2, 92) (dual of [(96, 2), 13, 93]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
11	Linear OOA(2¹⁷⁹, 96, F₂, 2, 93) (dual of [(96, 2), 13, 94]-NRT-code)	[i]	(u,Â u+v)-Construction for OOAs
12	Linear OOA(2⁸⁴, 24, F₂, 4, 46) (dual of [(24, 4), 12, 47]-NRT-code)	[i]	OOA Folding