MinT - Information on Result #738251

Information on Result #738251

Linear OA(8¹³⁵, 140, F₈, 112) (dual of [140, 5, 113]-code), using juxtaposition based on

linear OA(8⁹, 14, F₈, 8) (dual of [14, 5, 9]-code), using
- extended algebraic-geometric code AG_e(F,5P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14, using
  - F₂ from the tower of function fields over F₈ by van der Geer and van der Vlugt [i]
linear OA(8¹²¹, 126, F₈, 103) (dual of [126, 5, 104]-code), using
- a cyclic, quasi-cyclic, or quasi-twisted code by Daskalov, Hristov, and Metodieva [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(8¹⁴⁹, 154, F₈, 121) (dual of [154, 5, 122]-code)	[i]		Juxtaposition
2	Linear OA(8¹⁵⁰, 155, F₈, 122) (dual of [155, 5, 123]-code)	[i]		Juxtaposition
3	Linear OOA(8¹³⁵, 70, F₈, 2, 112) (dual of [(70, 2), 5, 113]-NRT-code)	[i]		OOA Folding