MinT - Information on Result #738405

Information on Result #738405

Linear OA(9¹⁴⁴, 149, F₉, 121) (dual of [149, 5, 122]-code), using juxtaposition based on

linear OA(9²³, 28, F₉, 20) (dual of [28, 5, 21]-code), using
- extended algebraic-geometric code AG_e(F,7P) [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using
  - the Hermitian function field over F₉ [i]
linear OA(9¹¹⁶, 121, F₉, 100) (dual of [121, 5, 101]-code), using
- a quasi-cyclic code by Bierbrauer and Gulliver [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 OA(9¹⁴⁴, 149, F₉, 120) (dual of [149, 5, 121]-code)	[i]		Strength Reduction
2	Linear OA(9¹⁴⁴, 149, F₉, 119) (dual of [149, 5, 120]-code)	[i]
3	Linear OA(9¹⁴⁴, 149, F₉, 118) (dual of [149, 5, 119]-code)	[i]
4	Linear OA(9¹³⁸, 143, F₉, 115) (dual of [143, 5, 116]-code)	[i]		Truncation
5	Linear OA(9¹³⁰, 135, F₉, 107) (dual of [135, 5, 108]-code)	[i]
6	Linear OA(9¹²⁹, 134, F₉, 106) (dual of [134, 5, 107]-code)	[i]
7	Linear OA(9¹²⁸, 133, F₉, 105) (dual of [133, 5, 106]-code)	[i]
8	Linear OA(9¹²⁶, 131, F₉, 103) (dual of [131, 5, 104]-code)	[i]
9	Linear OA(9¹²⁵, 130, F₉, 102) (dual of [130, 5, 103]-code)	[i]