MinT - Information on Result #671945

Information on Result #671945

Linear OA(3⁴⁴, 101, F₃, 15) (dual of [101, 57, 16]-code), using (u,Â u+v)-construction based on

linear OA(3¹⁶, 43, F₃, 7) (dual of [43, 27, 8]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(3⁵, 20, F₃, 3) (dual of [20, 15, 4]-code or 20-cap in PG(4,3)), using
    - doubling the cap [i] based on linear OA(3⁴, 10, F₃, 3) (dual of [10, 6, 4]-code or 10-cap in PG(3,3)), using
      - ovoid in PG(3,Â 3) [i]
  2. linear OA(3¹¹, 23, F₃, 7) (dual of [23, 12, 8]-code), using
    - 1 times truncation [i] based on linear OA(3¹², 24, F₃, 8) (dual of [24, 12, 9]-code), using
      - extended quadratic residue code Q_e(24,3) [i]
linear OA(3²⁸, 58, F₃, 15) (dual of [58, 30, 16]-code), using
- 2 times truncation [i] based on linear OA(3³⁰, 60, F₃, 17) (dual of [60, 30, 18]-code), using
  - extended quadratic residue code Q_e(60,3) [i]

Mode: Constructive and linear.

None.

None.