MinT - Information on Result #738099

Information on Result #738099

Linear OA(3²¹⁰, 220, F₃, 131) (dual of [220, 10, 132]-code), using concatenation of two codes based on

linear OA(9⁵⁰, 55, F₉, 43) (dual of [55, 5, 44]-code), using
- a quasi-cyclic code by Bierbrauer and Gulliver [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OA(3²⁰⁹, 219, F₃, 130) (dual of [219, 10, 131]-code)	[i]		Truncation
2	Linear OA(3²⁰⁸, 218, F₃, 129) (dual of [218, 10, 130]-code)	[i]
3	Linear OA(3²⁰⁷, 217, F₃, 128) (dual of [217, 10, 129]-code)	[i]
4	Linear OA(3²⁰⁵, 215, F₃, 126) (dual of [215, 10, 127]-code)	[i]
5	Linear OOA(3²¹⁰, 110, F₃, 2, 131) (dual of [(110, 2), 10, 132]-NRT-code)	[i]		OOA Folding
6	Linear OOA(3²¹⁰, 44, F₃, 5, 131) (dual of [(44, 5), 10, 132]-NRT-code)	[i]		OOA Folding