MinT - Information on Result #1120467

Information on Result #1120467

Linear OOA(3²²⁶, 50, F₃, 5, 173) (dual of [(50, 5), 24, 174]-NRT-code), using repeating each code word 2 times based on linear OOA(3¹⁰¹, 25, F₃, 5, 86) (dual of [(25, 5), 24, 87]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁰¹, 28, F₃, 5, 86) (dual of [(28, 5), 39, 87]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,53P) [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(3²²⁶, 50, F₃, 5, 172) (dual of [(50, 5), 24, 173]-NRT-code)	[i]		Strength Reduction for OOAs