MinT - Information on Result #1085932

Information on Result #1085932

Linear OOA(3¹⁶³, 42, F₃, 4, 137) (dual of [(42, 4), 5, 138]-NRT-code), using repeating each code word 6 times based on linear OOA(3²³, 7, F₃, 4, 22) (dual of [(7, 4), 5, 23]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(4;F,5P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, 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(3¹⁶³, 42, F₃, 4, 136) (dual of [(42, 4), 5, 137]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3¹⁶³, 42, F₃, 4, 135) (dual of [(42, 4), 5, 136]-NRT-code)	[i]
3	Linear OOA(3¹⁶³, 42, F₃, 4, 134) (dual of [(42, 4), 5, 135]-NRT-code)	[i]