MinT - Information on Result #1085377

Information on Result #1085377

Linear OOA(2¹⁷⁴, 45, F₂, 4, 125) (dual of [(45, 4), 6, 126]-NRT-code), using repeating each code word 9 times based on linear OOA(2¹⁴, 5, F₂, 4, 13) (dual of [(5, 4), 6, 14]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(4;F,6P) [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(2¹⁷⁴, 45, F₂, 4, 124) (dual of [(45, 4), 6, 125]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2¹⁷⁴, 45, F₂, 4, 123) (dual of [(45, 4), 6, 124]-NRT-code)	[i]
3	Linear OOA(2¹⁷⁴, 45, F₂, 4, 122) (dual of [(45, 4), 6, 123]-NRT-code)	[i]
4	Linear OOA(2¹⁷⁴, 45, F₂, 4, 121) (dual of [(45, 4), 6, 122]-NRT-code)	[i]
5	Linear OOA(2¹⁷⁴, 45, F₂, 4, 120) (dual of [(45, 4), 6, 121]-NRT-code)	[i]