MinT - Information on Result #1085360

Information on Result #1085360

Linear OOA(2¹⁷², 44, F₂, 4, 131) (dual of [(44, 4), 4, 132]-NRT-code), using repeating each code word 11 times based on linear OOA(2¹², 4, F₂, 4, 11) (dual of [(4, 4), 4, 12]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(2¹², 5, F₂, 4, 11) (dual of [(5, 4), 8, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,8P) [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(2¹⁷², 44, F₂, 4, 130) (dual of [(44, 4), 4, 131]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2¹⁷², 44, F₂, 4, 129) (dual of [(44, 4), 4, 130]-NRT-code)	[i]
3	Linear OOA(2¹⁷², 44, F₂, 4, 128) (dual of [(44, 4), 4, 129]-NRT-code)	[i]