MinT - Information on Result #2421398

Information on Result #2421398

Linear OOA(2¹⁶⁰, 84, F₂, 2, 98) (dual of [(84, 2), 8, 99]-NRT-code), using strength reduction based on linear OOA(2¹⁶⁰, 84, F₂, 2, 99) (dual of [(84, 2), 8, 100]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(4²⁴, 28, F₄, 19) (dual of [28, 4, 20]-code), using
  - an explicit generator matrix [i]
2. linear OOA(2⁴, 3, F₂, 2, 4) (dual of [(3, 2), 2, 5]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;2,2) [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(2¹⁶², 85, F₂, 2, 98) (dual of [(85, 2), 8, 99]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
2	Linear OOA(2¹⁶⁴, 86, F₂, 2, 98) (dual of [(86, 2), 8, 99]-NRT-code)	[i]	NRT-Code Embedding in Larger Space
3	Linear OOA(2¹⁶¹, 84, F₂, 2, 98) (dual of [(84, 2), 7, 99]-NRT-code)	[i]	OOA Duplication
4	Linear OOA(2¹⁵⁹, 83, F₂, 2, 97) (dual of [(83, 2), 7, 98]-NRT-code)	[i]	Truncation for OOAs
5	Linear OOA(2¹⁵⁸, 83, F₂, 2, 96) (dual of [(83, 2), 8, 97]-NRT-code)	[i]
6	Linear OOA(2¹⁵⁷, 82, F₂, 2, 95) (dual of [(82, 2), 7, 96]-NRT-code)	[i]
7	Linear OOA(2¹⁵⁶, 82, F₂, 2, 94) (dual of [(82, 2), 8, 95]-NRT-code)	[i]
8	Linear OOA(2¹⁵⁵, 81, F₂, 2, 93) (dual of [(81, 2), 7, 94]-NRT-code)	[i]
9	Linear OOA(2¹⁶⁰, 42, F₂, 4, 98) (dual of [(42, 4), 8, 99]-NRT-code)	[i]	OOA Folding