MinT - Information on Result #1020582

Information on Result #1020582

Linear OOA(3²⁰³, 72, F₃, 3, 143) (dual of [(72, 3), 13, 144]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3⁶⁰, 24, F₃, 3, 47) (dual of [(24, 3), 12, 48]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,24P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
  - a function field by SÃ©mirat [i]
linear OOA(3⁷¹, 24, F₃, 3, 71) (dual of [(24, 3), 1, 72]-NRT-code), using
- dual of repetition NRT-code with length 24 [i]
linear OOA(3⁷², 24, F₃, 3, 72) (dual of [(24, 3), 0, 73]-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(3²⁰³, 72, F₃, 3, 142) (dual of [(72, 3), 13, 143]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3²⁰³, 72, F₃, 3, 141) (dual of [(72, 3), 13, 142]-NRT-code)	[i]
3	Linear OOA(3²⁰³, 72, F₃, 3, 140) (dual of [(72, 3), 13, 141]-NRT-code)	[i]
4	Linear OOA(3²⁰³, 72, F₃, 3, 139) (dual of [(72, 3), 13, 140]-NRT-code)	[i]
5	Linear OOA(3²⁰³, 72, F₃, 3, 138) (dual of [(72, 3), 13, 139]-NRT-code)	[i]
6	Linear OOA(3²⁰³, 72, F₃, 3, 137) (dual of [(72, 3), 13, 138]-NRT-code)	[i]
7	Linear OOA(3²⁰³, 72, F₃, 3, 136) (dual of [(72, 3), 13, 137]-NRT-code)	[i]
8	Linear OOA(3²⁰⁰, 71, F₃, 3, 140) (dual of [(71, 3), 13, 141]-NRT-code)	[i]		Truncation for OOAs
9	Linear OOA(3¹⁹⁷, 70, F₃, 3, 137) (dual of [(70, 3), 13, 138]-NRT-code)	[i]		Truncation for OOAs