MinT - Information on Result #1086210

Information on Result #1086210

Linear OOA(3¹⁷⁹, 50, F₃, 4, 129) (dual of [(50, 4), 21, 130]-NRT-code), using repeating each code word 2 times based on linear OOA(3⁷⁹, 25, F₃, 4, 64) (dual of [(25, 4), 21, 65]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3⁷⁹, 28, F₃, 4, 64) (dual of [(28, 4), 33, 65]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,47P) [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(3¹⁷⁹, 50, F₃, 4, 128) (dual of [(50, 4), 21, 129]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3¹⁷⁹, 50, F₃, 4, 127) (dual of [(50, 4), 21, 128]-NRT-code)	[i]		Strength Reduction for OOAs