MinT - Information on Result #1021708

Information on Result #1021708

Linear OOA(7⁷⁶, 35, F₇, 3, 44) (dual of [(35, 3), 29, 45]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(7⁶, 5, F₇, 3, 6) (dual of [(5, 3), 9, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7⁶, 7, F₇, 3, 6) (dual of [(7, 3), 15, 7]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;15,7) [i]
linear OOA(7⁷, 5, F₇, 3, 7) (dual of [(5, 3), 8, 8]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7⁷, 7, F₇, 3, 7) (dual of [(7, 3), 14, 8]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;14,7) [i]
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(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)

Mode: Constructive and linear.

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