MinT - Information on Result #1086286

Information on Result #1086286

Linear OOA(3¹⁸⁹, 50, F₃, 4, 149) (dual of [(50, 4), 11, 150]-NRT-code), using repeating each code word 2 times based on linear OOA(3⁸⁹, 25, F₃, 4, 74) (dual of [(25, 4), 11, 75]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3⁸⁹, 27, F₃, 4, 74) (dual of [(27, 4), 19, 75]-NRT-code), using
- algebraic-geometric NRT-code AG(4;F,33P) [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		This result only	Method
1	Linear OOA(3¹⁸⁹, 50, F₃, 4, 148) (dual of [(50, 4), 11, 149]-NRT-code)	[i]		Strength Reduction for OOAs