MinT - Information on Result #2423308

Information on Result #2423308

Linear OOA(2¹⁸⁸, 99, F₂, 2, 107) (dual of [(99, 2), 10, 108]-NRT-code), using strength reduction based on linear OOA(2¹⁸⁸, 99, F₂, 2, 109) (dual of [(99, 2), 10, 110]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(4²⁸, 33, F₄, 21) (dual of [33, 5, 22]-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(2¹⁸⁷, 98, F₂, 2, 106) (dual of [(98, 2), 9, 107]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(2¹⁸⁶, 98, F₂, 2, 105) (dual of [(98, 2), 10, 106]-NRT-code)	[i]
3	Linear OOA(2¹⁸⁵, 97, F₂, 2, 104) (dual of [(97, 2), 9, 105]-NRT-code)	[i]
4	Linear OOA(2¹⁸⁴, 97, F₂, 2, 103) (dual of [(97, 2), 10, 104]-NRT-code)	[i]