MinT - Information on Result #1021715

Information on Result #1021715

Linear OOA(7⁷⁶, 42, F₇, 3, 39) (dual of [(42, 3), 50, 40]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(7⁵, 6, F₇, 3, 5) (dual of [(6, 3), 13, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7⁵, 7, F₇, 3, 5) (dual of [(7, 3), 16, 6]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;16,7) [i]
linear OOA(7⁶, 6, F₇, 3, 6) (dual of [(6, 3), 12, 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, 6, F₇, 3, 7) (dual of [(6, 3), 11, 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, 6, F₇, 3, 9) (dual of [(6, 3), 9, 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(7¹³, 6, F₇, 3, 13) (dual of [(6, 3), 5, 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(7¹⁸, 6, F₇, 3, 18) (dual of [(6, 3), 0, 19]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(7¹⁸, 6, F₇, 3, 18) (dual of [(6, 3), 0, 19]-NRT-code) (see above)

Mode: Constructive and linear.

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