MinT - Information on Result #918077

Information on Result #918077

Linear OOA(4²⁶⁰, 152, F₄, 2, 155) (dual of [(152, 2), 44, 156]-NRT-code), using concatenation of two NRT-codes based on

linear OOA(16⁵⁴, 38, F₁₆, 2, 51) (dual of [(38, 2), 22, 52]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,24P) [i] based on function field F/F₁₆ with g(F) = 3 and N(F) ≥ 38, using
  - a function field by SÃ©mirat [i]
linear OA(4², 4, F₄, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
- Reedâ€“Solomon code RS(2,4) [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(4²⁶⁰, 152, F₄, 2, 154) (dual of [(152, 2), 44, 155]-NRT-code)	[i]		Strength Reduction for OOAs
2	Linear OOA(4²⁶⁰, 152, F₄, 2, 153) (dual of [(152, 2), 44, 154]-NRT-code)	[i]		Strength Reduction for OOAs
3	Linear OOA(4²⁵⁹, 151, F₄, 2, 154) (dual of [(151, 2), 43, 155]-NRT-code)	[i]		Truncation for OOAs
4	Linear OOA(4²⁵⁸, 151, F₄, 2, 153) (dual of [(151, 2), 44, 154]-NRT-code)	[i]
5	Linear OOA(4²⁵⁷, 150, F₄, 2, 152) (dual of [(150, 2), 43, 153]-NRT-code)	[i]
6	Linear OOA(4²⁵⁶, 150, F₄, 2, 151) (dual of [(150, 2), 44, 152]-NRT-code)	[i]
7	Linear OOA(4²⁵⁵, 149, F₄, 2, 150) (dual of [(149, 2), 43, 151]-NRT-code)	[i]
8	Linear OOA(4²⁵⁴, 149, F₄, 2, 149) (dual of [(149, 2), 44, 150]-NRT-code)	[i]
9	Linear OOA(4²⁵³, 148, F₄, 2, 148) (dual of [(148, 2), 43, 149]-NRT-code)	[i]