MinT - Information on Result #738250

Information on Result #738250

Linear OA(8¹³⁴, 139, F₈, 111) (dual of [139, 5, 112]-code), using juxtaposition based on

linear OA(8⁸, 13, F₈, 7) (dual of [13, 5, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(8⁸, 14, F₈, 7) (dual of [14, 6, 8]-code), using
  - extended algebraic-geometric code AG_e(F,6P) [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.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OA(8¹³⁴, 139, F₈, 110) (dual of [139, 5, 111]-code)	[i]		Strength Reduction