MinT - Information on Result #1024521

Information on Result #1024521

Linear OOA(4²¹⁴, 75, F₄, 3, 164) (dual of [(75, 3), 11, 165]-NRT-code), using repeating each code word 3 times based on linear OOA(4⁶⁴, 25, F₄, 3, 54) (dual of [(25, 3), 11, 55]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(4⁶⁴, 26, F₄, 3, 54) (dual of [(26, 3), 14, 55]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,23P) [i] based on function field F/F₄ with g(F) = 10 and N(F) ≥ 27, 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(4²¹⁴, 75, F₄, 3, 163) (dual of [(75, 3), 11, 164]-NRT-code)	[i]		Strength Reduction for OOAs