MinT - Information on Result #1020572

Information on Result #1020572

Linear OOA(3²³⁴, 84, F₃, 3, 158) (dual of [(84, 3), 18, 159]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁶⁷, 28, F₃, 3, 52) (dual of [(28, 3), 17, 53]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,31P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
  - an explicitly constructive algebraic function field [i]
linear OOA(3⁸³, 28, F₃, 3, 79) (dual of [(28, 3), 1, 80]-NRT-code), using
- strength reduction [i] based on linear OOA(3⁸³, 28, F₃, 3, 83) (dual of [(28, 3), 1, 84]-NRT-code), using
  - dual of repetition NRT-code with length 28 [i]
linear OOA(3⁸⁴, 28, F₃, 3, 84) (dual of [(28, 3), 0, 85]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [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(3²³⁴, 84, F₃, 3, 157) (dual of [(84, 3), 18, 158]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3²³⁴, 84, F₃, 3, 156) (dual of [(84, 3), 18, 157]-NRT-code)	[i]
3	Linear OOA(3²³⁴, 84, F₃, 3, 155) (dual of [(84, 3), 18, 156]-NRT-code)	[i]
4	Linear OOA(3²³⁴, 84, F₃, 3, 154) (dual of [(84, 3), 18, 155]-NRT-code)	[i]
5	Linear OOA(3²³³, 83, F₃, 3, 157) (dual of [(83, 3), 16, 158]-NRT-code)	[i]		Truncation for OOAs
6	Linear OOA(3²³², 83, F₃, 3, 156) (dual of [(83, 3), 17, 157]-NRT-code)	[i]
7	Linear OOA(3²³¹, 83, F₃, 3, 155) (dual of [(83, 3), 18, 156]-NRT-code)	[i]
8	Linear OOA(3²³⁰, 82, F₃, 3, 154) (dual of [(82, 3), 16, 155]-NRT-code)	[i]
9	Linear OOA(3²²⁹, 82, F₃, 3, 153) (dual of [(82, 3), 17, 154]-NRT-code)	[i]
10	Linear OOA(3²²⁸, 82, F₃, 3, 152) (dual of [(82, 3), 18, 153]-NRT-code)	[i]
11	Linear OOA(3²²⁷, 81, F₃, 3, 151) (dual of [(81, 3), 16, 152]-NRT-code)	[i]
12	Linear OOA(3²²⁶, 81, F₃, 3, 150) (dual of [(81, 3), 17, 151]-NRT-code)	[i]
13	Linear OOA(3²²⁴, 80, F₃, 3, 148) (dual of [(80, 3), 16, 149]-NRT-code)	[i]
14	Linear OOA(3²²³, 80, F₃, 3, 147) (dual of [(80, 3), 17, 148]-NRT-code)	[i]