MinT - Information on Result #1086121

Information on Result #1086121

Linear OOA(3²¹⁸, 57, F₃, 4, 173) (dual of [(57, 4), 10, 174]-NRT-code), using repeating each code word 3 times based on linear OOA(3⁶⁶, 19, F₃, 4, 57) (dual of [(19, 4), 10, 58]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(4;F,18P) [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(3²¹⁸, 57, F₃, 4, 172) (dual of [(57, 4), 10, 173]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3²¹⁸, 57, F₃, 4, 171) (dual of [(57, 4), 10, 172]-NRT-code)	[i]
3	Linear OOA(3²¹⁸, 57, F₃, 4, 170) (dual of [(57, 4), 10, 171]-NRT-code)	[i]