MinT - Information on Result #661798

Information on Result #661798

Linear OA(2¹³⁰, 140, F₂, 63) (dual of [140, 10, 64]-code), using (u,Â u+v)-construction based on

linear OA(2⁶¹, 70, F₂, 31) (dual of [70, 9, 32]-code), using
- concatenation of two codes [i] based on
  1. linear OA(8⁷, 10, F₈, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,8)), using
    - Denniston code D(1,8) [i]
  2. linear OA(2⁴, 7, F₂, 3) (dual of [7, 3, 4]-code or 7-cap in PG(3,2)), using
    - Simplex code S(3,2) [i]
linear OA(2⁶⁹, 70, F₂, 63) (dual of [70, 1, 64]-code), using
- strength reduction [i] based on linear OA(2⁶⁹, 70, F₂, 69) (dual of [70, 1, 70]-code or 70-arc in PG(68,2)), using
  - dual of repetition code with length 70 [i]

Mode: Constructive and linear.

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