MinT - Information on Result #663145

Information on Result #663145

Linear OA(7²⁵, 30, F₇, 19) (dual of [30, 5, 20]-code), using generalized (u,Â u+v)-construction based on

linear OA(7³, 5, F₇, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,7) or 5-cap in PG(2,7)), using
- discarding factors / shortening the dual code based on linear OA(7³, 7, F₇, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,7) or 7-cap in PG(2,7)), using
  - Reedâ€“Solomon code RS(4,7) [i]
linear OA(7³, 5, F₇, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,7) or 5-cap in PG(2,7)) (see above)
linear OA(7⁴, 5, F₇, 4) (dual of [5, 1, 5]-code or 5-arc in PG(3,7)), using
- dual of repetition code with length 5 [i]
linear OA(7⁵, 5, F₇, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,7)), using
- complete OA / dual of code with only one code word [i]
linear OA(7⁵, 5, F₇, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,7)) (see above)
linear OA(7⁵, 5, F₇, 5) (dual of [5, 0, 6]-code or 5-arc in PG(4,7)) (see above)

Mode: Constructive and linear.

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