MinT - Information on Result #1086260

Information on Result #1086260

Linear OOA(3¹⁹⁴, 54, F₃, 4, 143) (dual of [(54, 4), 22, 144]-NRT-code), using repeating each code word 2 times based on linear OOA(3⁸⁶, 27, F₃, 4, 71) (dual of [(27, 4), 22, 72]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3⁸⁶, 28, F₃, 4, 71) (dual of [(28, 4), 26, 72]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,40P) [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(3¹⁹⁴, 54, F₃, 4, 142) (dual of [(54, 4), 22, 143]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3¹⁹⁴, 54, F₃, 4, 141) (dual of [(54, 4), 22, 142]-NRT-code)	[i]
3	Linear OOA(3¹⁹⁴, 54, F₃, 4, 140) (dual of [(54, 4), 22, 141]-NRT-code)	[i]