MinT - Information on Result #1086393

Information on Result #1086393

Linear OOA(3²²³, 60, F₃, 4, 165) (dual of [(60, 4), 17, 166]-NRT-code), using repeating each code word 2 times based on linear OOA(3¹⁰³, 30, F₃, 4, 82) (dual of [(30, 4), 17, 83]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁰³, 32, F₃, 4, 82) (dual of [(32, 4), 25, 83]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,45P) [i] based on function field F/F₃ with g(F) = 21 and N(F) ≥ 32, 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(3²²³, 60, F₃, 4, 164) (dual of [(60, 4), 17, 165]-NRT-code)	[i]		Strength Reduction for OOAs