MinT - Information on Result #1119847

Information on Result #1119847

Linear OOA(2²⁵⁵, 52, F₂, 5, 194) (dual of [(52, 5), 5, 195]-NRT-code), using repeating each code word 13 times based on linear OOA(2¹⁵, 4, F₂, 5, 14) (dual of [(4, 5), 5, 15]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2¹⁵, 5, F₂, 5, 14) (dual of [(5, 5), 10, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,10P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
  - an explicitly constructive algebraic function field [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(2²⁵⁵, 52, F₂, 5, 193) (dual of [(52, 5), 5, 194]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²⁵⁵, 52, F₂, 5, 192) (dual of [(52, 5), 5, 193]-NRT-code)	[i]
3	Linear OOA(2²⁵⁵, 52, F₂, 5, 191) (dual of [(52, 5), 5, 192]-NRT-code)	[i]
4	Linear OOA(2²⁵⁵, 52, F₂, 5, 190) (dual of [(52, 5), 5, 191]-NRT-code)	[i]
5	Linear OOA(2²⁵⁵, 52, F₂, 5, 189) (dual of [(52, 5), 5, 190]-NRT-code)	[i]