MinT - Information on Result #1086215

Information on Result #1086215

Linear OOA(3¹⁸⁸, 54, F₃, 4, 131) (dual of [(54, 4), 28, 132]-NRT-code), using repeating each code word 2 times based on linear OOA(3⁸⁰, 27, F₃, 4, 65) (dual of [(27, 4), 28, 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		Method
1	Linear OOA(3¹⁸⁸, 54, F₃, 4, 130) (dual of [(54, 4), 28, 131]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3¹⁸⁸, 54, F₃, 4, 129) (dual of [(54, 4), 28, 130]-NRT-code)	[i]
3	Linear OOA(3¹⁸⁸, 54, F₃, 4, 128) (dual of [(54, 4), 28, 129]-NRT-code)	[i]