MinT - Information on Result #1024517

Information on Result #1024517

Linear OOA(4²⁰⁷, 72, F₄, 3, 161) (dual of [(72, 3), 9, 162]-NRT-code), using repeating each code word 3 times based on linear OOA(4⁶³, 24, F₄, 3, 53) (dual of [(24, 3), 9, 54]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(4⁶³, 26, F₄, 3, 53) (dual of [(26, 3), 15, 54]-NRT-code), using
- algebraic-geometric NRT-code AG(3;F,24P) [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(4²⁰⁷, 72, F₄, 3, 160) (dual of [(72, 3), 9, 161]-NRT-code)	[i]		Strength Reduction for OOAs