MinT - Information on Result #547672

Information on Result #547672

There is no linear OA(2¹⁹, 28, F₂, 10) (dual of [28, 9, 11]-code), because constructionÂ Y1 would yield

linear OA(2¹⁸, 24, F₂, 10) (dual of [24, 6, 11]-code), but
- residual code [i] would yield linear OA(2⁸, 13, F₂, 5) (dual of [13, 5, 6]-code), but
  - 1 times truncation [i] would yield linear OA(2⁷, 12, F₂, 4) (dual of [12, 5, 5]-code), but
    - bound by Fontaine and Peterson [i]
linear OA(2⁹, 28, F₂, 4) (dual of [28, 19, 5]-code), but
- discarding factors / shortening the dual code would yield linear OA(2⁹, 24, F₂, 4) (dual of [24, 15, 5]-code), but
  - adding a parity check bit [i] would yield linear OA(2¹⁰, 25, F₂, 5) (dual of [25, 15, 6]-code), but
    - bound by Simonis [i]

Mode: Bound (linear).

None.

None.