MinT - Information on Result #1120464

Information on Result #1120464

Linear OOA(3²⁴¹, 56, F₃, 5, 173) (dual of [(56, 5), 39, 174]-NRT-code), using repeating each code word 2 times 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		Method
1	Linear OOA(3²⁴¹, 56, F₃, 5, 172) (dual of [(56, 5), 39, 173]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3²⁴¹, 56, F₃, 5, 171) (dual of [(56, 5), 39, 172]-NRT-code)	[i]	Strength Reduction for OOAs
3	Linear OOA(3²⁴⁰, 55, F₃, 5, 172) (dual of [(55, 5), 35, 173]-NRT-code)	[i]	Truncation for OOAs
4	Linear OOA(3²³⁹, 55, F₃, 5, 171) (dual of [(55, 5), 36, 172]-NRT-code)	[i]
5	Linear OOA(3²³⁸, 55, F₃, 5, 170) (dual of [(55, 5), 37, 171]-NRT-code)	[i]