MinT - Information on Result #2848817

Information on Result #2848817

Linear OOA(2²⁵⁸, 54, F₂, 5, 190) (dual of [(54, 5), 12, 191]-NRT-code), using strength reduction based on linear OOA(2²⁵⁸, 54, F₂, 5, 191) (dual of [(54, 5), 12, 192]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OA(16¹⁵, 18, F₁₆, 15) (dual of [18, 3, 16]-code or 18-arc in PG(14,16)), using
  - Denniston code D(1,16) [i]
2. linear OOA(2¹¹, 3, F₂, 5, 11) (dual of [(3, 5), 4, 12]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(5;4,2) [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		This result only	Method
1	Linear OOA(2²⁵³, 53, F₂, 5, 185) (dual of [(53, 5), 12, 186]-NRT-code)	[i]		Truncation for OOAs
2	Linear OOA(2²⁴⁸, 52, F₂, 5, 180) (dual of [(52, 5), 12, 181]-NRT-code)	[i]		Truncation for OOAs