MinT - Information on Result #1023713

Information on Result #1023713

Linear OOA(3⁵¹, 18, F₃, 3, 44) (dual of [(18, 3), 3, 45]-NRT-code), using repeating each code word 3 times based on linear OOA(3¹⁵, 6, F₃, 3, 14) (dual of [(6, 3), 3, 15]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁵, 7, F₃, 3, 14) (dual of [(7, 3), 6, 15]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, 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(3⁵¹, 18, F₃, 3, 43) (dual of [(18, 3), 3, 44]-NRT-code)	[i]		Strength Reduction for OOAs