MinT - Information on Result #1021684

Information on Result #1021684

Linear OOA(7⁸⁴, 35, F₇, 3, 54) (dual of [(35, 3), 21, 55]-NRT-code), using generalized (u,Â u+v)-construction based on

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(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(7¹⁰, 5, F₇, 3, 10) (dual of [(5, 3), 5, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7¹⁰, 7, F₇, 3, 10) (dual of [(7, 3), 11, 11]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;11,7) [i]
linear OOA(7¹³, 5, F₇, 3, 13) (dual of [(5, 3), 2, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7¹³, 7, F₇, 3, 13) (dual of [(7, 3), 8, 14]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;8,7) [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.

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