MinT - Information on Result #916135

Information on Result #916135

Linear OOA(3²⁰⁸, 120, F₃, 2, 122) (dual of [(120, 2), 32, 123]-NRT-code), using concatenation of two NRT-codes based on

linear OOA(9⁴⁴, 30, F₉, 2, 40) (dual of [(30, 2), 16, 41]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,19P) [i] based on function field F/F₉ with g(F) = 4 and N(F) ≥ 30, using
  - a function field by SÃ©mirat [i]
linear OA(3², 4, F₃, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
- extended Reedâ€“Solomon code RS_e(2,3) [i]
- Hamming code H(2,3) [i]
- Simplex code S(2,3) [i]
- the Tetracode [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(3²⁰⁸, 120, F₃, 2, 121) (dual of [(120, 2), 32, 122]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(3²⁰⁸, 120, F₃, 2, 120) (dual of [(120, 2), 32, 121]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(3²¹⁰, 121, F₃, 2, 122) (dual of [(121, 2), 32, 123]-NRT-code)	[i]		NRT-Code Embedding in Larger Space
4	Linear OOA(3²⁰⁹, 120, F₃, 2, 122) (dual of [(120, 2), 31, 123]-NRT-code)	[i]		OOA Duplication
5	Linear OOA(3²⁰⁷, 119, F₃, 2, 121) (dual of [(119, 2), 31, 122]-NRT-code)	[i]		Truncation for OOAs
6	Linear OOA(3²⁰⁶, 119, F₃, 2, 120) (dual of [(119, 2), 32, 121]-NRT-code)	[i]
7	Linear OOA(3²⁰⁵, 118, F₃, 2, 119) (dual of [(118, 2), 31, 120]-NRT-code)	[i]
8	Linear OOA(3²⁰⁴, 118, F₃, 2, 118) (dual of [(118, 2), 32, 119]-NRT-code)	[i]
9	Linear OOA(3²⁰³, 117, F₃, 2, 117) (dual of [(117, 2), 31, 118]-NRT-code)	[i]
10	Linear OOA(3²⁰², 117, F₃, 2, 116) (dual of [(117, 2), 32, 117]-NRT-code)	[i]
11	Linear OOA(3²⁰¹, 116, F₃, 2, 115) (dual of [(116, 2), 31, 116]-NRT-code)	[i]
12	Linear OOA(3²⁰⁸, 60, F₃, 4, 122) (dual of [(60, 4), 32, 123]-NRT-code)	[i]		OOA Folding