MinT - Information on Result #906544

Information on Result #906544

Linear OOA(7¹⁰⁹, 60, F₇, 2, 77) (dual of [(60, 2), 11, 78]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(7¹³, 10, F₇, 2, 12) (dual of [(10, 2), 7, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7¹³, 13, F₇, 2, 12) (dual of [(13, 2), 13, 13]-NRT-code), using
  - extracting embedded OOA [i] based on digital (1, 13, 13)-net over F₇, using
    - a shift-net [i]
linear OOA(7¹⁷, 10, F₇, 2, 15) (dual of [(10, 2), 3, 16]-NRT-code), using
- OOA 2-folding [i] based on linear OA(7¹⁷, 20, F₇, 15) (dual of [20, 3, 16]-code), using
  - 2 times truncation [i] based on linear OA(7¹⁹, 22, F₇, 17) (dual of [22, 3, 18]-code), using
    - a projective code based on a Barlotti arc [i]
linear OOA(7¹⁹, 10, F₇, 2, 19) (dual of [(10, 2), 1, 20]-NRT-code), using
- dual of repetition NRT-code with length 10 [i]
linear OOA(7²⁰, 10, F₇, 2, 20) (dual of [(10, 2), 0, 21]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(7²⁰, 10, F₇, 2, 20) (dual of [(10, 2), 0, 21]-NRT-code) (see above)
linear OOA(7²⁰, 10, F₇, 2, 20) (dual of [(10, 2), 0, 21]-NRT-code) (see above)

Mode: Constructive and linear.

None.

The following results depend on this result: