MinT - Information on Result #1120491

Information on Result #1120491

Linear OOA(3²⁴⁰, 54, F₃, 5, 181) (dual of [(54, 5), 30, 182]-NRT-code), using repeating each code word 2 times based on linear OOA(3¹⁰⁵, 27, F₃, 5, 90) (dual of [(27, 5), 30, 91]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹⁰⁵, 28, F₃, 5, 90) (dual of [(28, 5), 35, 91]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,49P) [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		Method
1	Linear OOA(3²⁴⁰, 54, F₃, 5, 180) (dual of [(54, 5), 30, 181]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3²⁴⁰, 54, F₃, 5, 179) (dual of [(54, 5), 30, 180]-NRT-code)	[i]
3	Linear OOA(3²⁴⁰, 54, F₃, 5, 178) (dual of [(54, 5), 30, 179]-NRT-code)	[i]
4	Linear OOA(3²⁴⁰, 54, F₃, 5, 177) (dual of [(54, 5), 30, 178]-NRT-code)	[i]