MinT - Information on Result #906539

Information on Result #906539

Linear OOA(7⁵⁰, 42, F₇, 2, 26) (dual of [(42, 2), 34, 27]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(7³, 6, F₇, 2, 3) (dual of [(6, 2), 9, 4]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7³, 7, F₇, 2, 3) (dual of [(7, 2), 11, 4]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;11,7) [i]
linear OOA(7⁴, 6, F₇, 2, 4) (dual of [(6, 2), 8, 5]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7⁴, 7, F₇, 2, 4) (dual of [(7, 2), 10, 5]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;10,7) [i]
linear OOA(7⁵, 6, F₇, 2, 5) (dual of [(6, 2), 7, 6]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7⁵, 7, F₇, 2, 5) (dual of [(7, 2), 9, 6]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;9,7) [i]
linear OOA(7⁶, 6, F₇, 2, 6) (dual of [(6, 2), 6, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7⁶, 7, F₇, 2, 6) (dual of [(7, 2), 8, 7]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;8,7) [i]
linear OOA(7⁸, 6, F₇, 2, 8) (dual of [(6, 2), 4, 9]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(7⁸, 7, F₇, 2, 8) (dual of [(7, 2), 6, 9]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;6,7) [i]
linear OOA(7¹², 6, F₇, 2, 12) (dual of [(6, 2), 0, 13]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(7¹², 6, F₇, 2, 12) (dual of [(6, 2), 0, 13]-NRT-code) (see above)

Mode: Constructive and linear.

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