MinT - Information on Result #2235250

Information on Result #2235250

Linear OA(4¹⁸, 22, F₄, 14) (dual of [22, 4, 15]-code), using 1 times truncation based on linear OA(4¹⁹, 23, F₄, 15) (dual of [23, 4, 16]-code), using

constructionÂ X applied to C₁ âŠ‚ C₂ with C₁ a [17,1,16]-code [i] based on
1. linear OA(4¹³, 17, F₄, 11) (dual of [17, 4, 12]-code), using projective code from ovoid in PG(3,Â 4) [i]
2. 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(4¹⁴⁵, 4118, F₄, 29) (dual of [4118, 3973, 30]-code)	[i]		(u,Â u+v)-Construction
2	Linear OA(4¹⁶⁶, 16406, F₄, 29) (dual of [16406, 16240, 30]-code)	[i]
3	Linear OA(4¹⁸⁷, 65558, F₄, 29) (dual of [65558, 65371, 30]-code)	[i]
4	Linear OA(4²⁰⁸, 262166, F₄, 29) (dual of [262166, 261958, 30]-code)	[i]
5	Linear OA(4²²⁹, 1048598, F₄, 29) (dual of [1048598, 1048369, 30]-code)	[i]
6	Linear OA(4²⁵⁰, 4194326, F₄, 29) (dual of [4194326, 4194076, 30]-code)	[i]
7	Linear OA(4¹⁰³, 107, F₄, 78) (dual of [107, 4, 79]-code)	[i]		Juxtaposition
8	Linear OA(2⁵⁸, 66, F₂, 29) (dual of [66, 8, 30]-code)	[i]		Concatenation of Two Codes
9	Linear OOA(2⁸⁰, 44, F₂, 2, 44) (dual of [(44, 2), 8, 45]-NRT-code)	[i]		Concatenation of Two NRT-Codes
10	Linear OOA(2¹²⁴, 66, F₂, 2, 74) (dual of [(66, 2), 8, 75]-NRT-code)	[i]
11	Linear OOA(2¹⁹⁰, 66, F₂, 3, 119) (dual of [(66, 3), 8, 120]-NRT-code)	[i]
12	Linear OA(4²⁰⁴, 211, F₄, 143) (dual of [211, 7, 144]-code)	[i]		ConstructionÂ X with Cyclic Codes
13	Linear OA(4²⁰⁶, 214, F₄, 143) (dual of [214, 8, 144]-code)	[i]		ConstructionÂ XX with Cyclic Codes
14	Linear OA(4²⁰⁴, 212, F₄, 141) (dual of [212, 8, 142]-code)	[i]		ConstructionÂ X with Extended Narrow-Sense BCH Codes
15	Linear OOA(4¹⁸, 11, F₄, 2, 14) (dual of [(11, 2), 4, 15]-NRT-code)	[i]		OOA Folding