MinT - Information on Result #1086408

Information on Result #1086408

Linear OOA(3²⁴⁹, 72, F₃, 4, 159) (dual of [(72, 4), 39, 160]-NRT-code), using repeating each code word 2 times based on linear OOA(3¹⁰⁵, 36, F₃, 4, 79) (dual of [(36, 4), 39, 80]-NRT-code), using

extended algebraic-geometric NRT-code AG_e(4;F,64P) [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, using
- an explicitly constructive algebraic function field [i]
algebraic-geometric NRT-code AG(4;F,32P) with degPÂ =Â 2 [i] based on function field F/F₃ with g(F) = 26 and N(F) ≥ 36, 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(3²⁴⁹, 72, F₃, 4, 158) (dual of [(72, 4), 39, 159]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3²⁴⁹, 72, F₃, 4, 157) (dual of [(72, 4), 39, 158]-NRT-code)	[i]
3	Linear OOA(3²⁴⁹, 72, F₃, 4, 156) (dual of [(72, 4), 39, 157]-NRT-code)	[i]
4	Linear OOA(3²⁴⁹, 72, F₃, 4, 155) (dual of [(72, 4), 39, 156]-NRT-code)	[i]
5	Linear OOA(3²⁴⁹, 72, F₃, 4, 154) (dual of [(72, 4), 39, 155]-NRT-code)	[i]
6	Linear OOA(3²⁴⁸, 71, F₃, 4, 158) (dual of [(71, 4), 36, 159]-NRT-code)	[i]	Truncation for OOAs
7	Linear OOA(3²⁴⁷, 71, F₃, 4, 157) (dual of [(71, 4), 37, 158]-NRT-code)	[i]
8	Linear OOA(3²⁴⁶, 71, F₃, 4, 156) (dual of [(71, 4), 38, 157]-NRT-code)	[i]
9	Linear OOA(3²⁴⁵, 71, F₃, 4, 155) (dual of [(71, 4), 39, 156]-NRT-code)	[i]
10	Linear OOA(3²⁴⁰, 69, F₃, 4, 150) (dual of [(69, 4), 36, 151]-NRT-code)	[i]
11	Linear OOA(3²³⁹, 69, F₃, 4, 149) (dual of [(69, 4), 37, 150]-NRT-code)	[i]
12	Linear OOA(3²³⁸, 69, F₃, 4, 148) (dual of [(69, 4), 38, 149]-NRT-code)	[i]
13	Linear OOA(3²³⁷, 69, F₃, 4, 147) (dual of [(69, 4), 39, 148]-NRT-code)	[i]