MinT - Information on Result #622096

Information on Result #622096

Linear OA(9⁹⁷, 103, F₉, 80) (dual of [103, 6, 81]-code), using constructionÂ X applied to C₁ âŠ‚ C₀ based on

linear OA(9⁸⁸, 91, F₉, 80) (dual of [91, 3, 81]-code), using code C₁ for uÂ =Â 3 by de Boer and Brouwer [i]
linear OA(9⁸⁵, 91, F₉, 71) (dual of [91, 6, 72]-code), using code C₀ for uÂ =Â 3 by de Boer and Brouwer [i]
linear OA(9⁹, 12, F₉, 8) (dual of [12, 3, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(9⁹, 19, F₉, 8) (dual of [19, 10, 9]-code), using
  - 1 times truncation [i] based on linear OA(9¹⁰, 20, F₉, 9) (dual of [20, 10, 10]-code), using
    - extended quadratic residue code Q_e(20,9) [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(9⁹⁷, 103, F₉, 79) (dual of [103, 6, 80]-code)	[i]		Strength Reduction
2	Linear OA(9¹⁰⁵, 111, F₉, 83) (dual of [111, 6, 84]-code)	[i]		Juxtaposition
3	Linear OA(9¹⁰⁶, 112, F₉, 84) (dual of [112, 6, 85]-code)	[i]
4	Linear OA(9¹⁰⁷, 113, F₉, 85) (dual of [113, 6, 86]-code)	[i]
5	Linear OA(9¹¹³, 119, F₉, 90) (dual of [119, 6, 91]-code)	[i]
6	Linear OA(9¹¹⁵, 121, F₉, 91) (dual of [121, 6, 92]-code)	[i]
7	Linear OA(9¹¹⁶, 122, F₉, 92) (dual of [122, 6, 93]-code)	[i]
8	Linear OA(9¹¹⁷, 123, F₉, 93) (dual of [123, 6, 94]-code)	[i]
9	Linear OA(9¹²³, 129, F₉, 98) (dual of [129, 6, 99]-code)	[i]
10	Linear OA(9¹²⁴, 130, F₉, 99) (dual of [130, 6, 100]-code)	[i]
11	Linear OA(9¹²⁵, 131, F₉, 100) (dual of [131, 6, 101]-code)	[i]