MinT - Information on Result #1120092

Information on Result #1120092

Linear OOA(2²¹⁴, 45, F₂, 5, 155) (dual of [(45, 5), 11, 156]-NRT-code), using repeating each code word 3 times based on linear OOA(2⁶⁴, 15, F₂, 5, 51) (dual of [(15, 5), 11, 52]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(5;F,23P) [i] based on function field F/F₂ with g(F) = 13 and N(F) ≥ 15, 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(2²¹⁴, 45, F₂, 5, 154) (dual of [(45, 5), 11, 155]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(2²¹⁴, 45, F₂, 5, 153) (dual of [(45, 5), 11, 154]-NRT-code)	[i]
3	Linear OOA(2²¹⁴, 45, F₂, 5, 152) (dual of [(45, 5), 11, 153]-NRT-code)	[i]
4	Linear OOA(2²¹⁴, 45, F₂, 5, 151) (dual of [(45, 5), 11, 152]-NRT-code)	[i]