MinT - Information on Result #1086349

Information on Result #1086349

Linear OOA(3²⁰⁶, 54, F₃, 4, 167) (dual of [(54, 4), 10, 168]-NRT-code), using repeating each code word 2 times based on linear OOA(3⁹⁸, 27, F₃, 4, 83) (dual of [(27, 4), 10, 84]-NRT-code), using

algebraic-geometric NRT-code AG(4;F,24P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, 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(3²⁰⁶, 54, F₃, 4, 166) (dual of [(54, 4), 10, 167]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3²⁰⁶, 54, F₃, 4, 165) (dual of [(54, 4), 10, 166]-NRT-code)	[i]
3	Linear OOA(3²⁰⁶, 54, F₃, 4, 164) (dual of [(54, 4), 10, 165]-NRT-code)	[i]