MinT - Information on Result #1086122

Information on Result #1086122

Linear OOA(3²¹⁰, 54, F₃, 4, 173) (dual of [(54, 4), 6, 174]-NRT-code), using repeating each code word 3 times based on linear OOA(3⁶⁶, 18, F₃, 4, 57) (dual of [(18, 4), 6, 58]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3⁶⁶, 19, F₃, 4, 57) (dual of [(19, 4), 10, 58]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(4;F,18P) [i] based on function field F/F₃ with g(F) = 9 and N(F) ≥ 19, 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(3²¹⁰, 54, F₃, 4, 172) (dual of [(54, 4), 6, 173]-NRT-code)	[i]		Strength Reduction for OOAs