MinT - Information on Result #1023905

Information on Result #1023905

Linear OOA(3¹⁶⁶, 57, F₃, 3, 131) (dual of [(57, 3), 5, 132]-NRT-code), using repeating each code word 3 times based on linear OOA(3⁵², 19, F₃, 3, 43) (dual of [(19, 3), 5, 44]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, 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(3¹⁶⁶, 57, F₃, 3, 130) (dual of [(57, 3), 5, 131]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3¹⁶⁶, 57, F₃, 3, 129) (dual of [(57, 3), 5, 130]-NRT-code)	[i]
3	Linear OOA(3¹⁶⁶, 57, F₃, 3, 128) (dual of [(57, 3), 5, 129]-NRT-code)	[i]
4	Linear OOA(3¹⁶⁶, 57, F₃, 3, 127) (dual of [(57, 3), 5, 128]-NRT-code)	[i]
5	Linear OOA(3¹⁶⁶, 57, F₃, 3, 126) (dual of [(57, 3), 5, 127]-NRT-code)	[i]