MinT - Information on Result #1021675

Information on Result #1021675

Linear OOA(7⁸⁷, 35, F₇, 3, 59) (dual of [(35, 3), 18, 60]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(7⁸, 5, F₇, 3, 8) (dual of [(5, 3), 7, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7⁸, 7, F₇, 3, 8) (dual of [(7, 3), 13, 9]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;13,7) [i]
linear OOA(7⁹, 5, F₇, 3, 9) (dual of [(5, 3), 6, 10]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7⁹, 7, F₇, 3, 9) (dual of [(7, 3), 12, 10]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;12,7) [i]
linear OOA(7¹¹, 5, F₇, 3, 11) (dual of [(5, 3), 4, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7¹¹, 7, F₇, 3, 11) (dual of [(7, 3), 10, 12]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;10,7) [i]
linear OOA(7¹⁴, 5, F₇, 3, 14) (dual of [(5, 3), 1, 15]-NRT-code), using
- dual of repetition NRT-code with length 5 [i]
linear OOA(7¹⁵, 5, F₇, 3, 15) (dual of [(5, 3), 0, 16]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(7¹⁵, 5, F₇, 3, 15) (dual of [(5, 3), 0, 16]-NRT-code) (see above)
linear OOA(7¹⁵, 5, F₇, 3, 15) (dual of [(5, 3), 0, 16]-NRT-code) (see above)

Mode: Constructive and linear.

None.

The following results depend on this result: