MinT - Information on Result #637239

Information on Result #637239

Linear OA(4¹²⁰, 150, F₄, 63) (dual of [150, 30, 64]-code), using concatenation of two codes based on

linear OA(64¹⁵, 25, F₆₄, 15) (dual of [25, 10, 16]-code or 25-arc in PG(14,64)), using
- discarding factors / shortening the dual code based on linear OA(64¹⁵, 64, F₆₄, 15) (dual of [64, 49, 16]-code or 64-arc in PG(14,64)), using
  - Reedâ€“Solomon code RS(49,64) [i]
linear OA(4³, 6, F₄, 3) (dual of [6, 3, 4]-code or 6-arc in PG(2,4) or 6-cap in PG(2,4)), using
- hyperoval in PG(2,Â 4) [i]
- the Hexacode [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(4¹²¹, 151, F₄, 63) (dual of [151, 30, 64]-code)	[i]		Code Embedding in Larger Space
2	Linear OA(4¹¹⁹, 149, F₄, 62) (dual of [149, 30, 63]-code)	[i]		Truncation
3	Linear OA(4¹¹⁸, 148, F₄, 61) (dual of [148, 30, 62]-code)	[i]
4	Linear OA(4¹¹⁷, 147, F₄, 60) (dual of [147, 30, 61]-code)	[i]
5	Linear OA(4¹¹⁶, 146, F₄, 59) (dual of [146, 30, 60]-code)	[i]
6	Linear OA(4¹²¹, 152, F₄, 63) (dual of [152, 31, 64]-code)	[i]		ConstructionÂ X with VarÅ¡amov Bound
7	Linear OOA(4¹²⁰, 75, F₄, 2, 63) (dual of [(75, 2), 30, 64]-NRT-code)	[i]		OOA Folding
8	Linear OOA(4¹²⁰, 50, F₄, 3, 63) (dual of [(50, 3), 30, 64]-NRT-code)	[i]		OOA Folding