MinT - Information on Result #1086217

Information on Result #1086217

Linear OOA(3¹⁸⁰, 50, F₃, 4, 131) (dual of [(50, 4), 20, 132]-NRT-code), using repeating each code word 2 times based on linear OOA(3⁸⁰, 25, F₃, 4, 65) (dual of [(25, 4), 20, 66]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3⁸⁰, 28, F₃, 4, 65) (dual of [(28, 4), 32, 66]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,46P) [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(3¹⁸⁰, 50, F₃, 4, 130) (dual of [(50, 4), 20, 131]-NRT-code)	[i]		Strength Reduction for OOAs