MinT - Information on Result #1119982

Information on Result #1119982

Linear OOA(2²¹⁶, 45, F₂, 5, 159) (dual of [(45, 5), 9, 160]-NRT-code), using repeating each code word 5 times based on linear OOA(2³⁶, 9, F₂, 5, 31) (dual of [(9, 5), 9, 32]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(5;F,13P) [i] based on function field F/F₂ with g(F) = 5 and N(F) ≥ 9, 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(2²¹⁶, 45, F₂, 5, 158) (dual of [(45, 5), 9, 159]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²¹⁶, 45, F₂, 5, 157) (dual of [(45, 5), 9, 158]-NRT-code)	[i]
3	Linear OOA(2²¹⁶, 45, F₂, 5, 156) (dual of [(45, 5), 9, 157]-NRT-code)	[i]
4	Linear OOA(2²¹⁶, 45, F₂, 5, 155) (dual of [(45, 5), 9, 156]-NRT-code)	[i]