MinT - Information on Result #906646

Information on Result #906646

Linear OOA(8¹⁵², 80, F₈, 2, 119) (dual of [(80, 2), 8, 120]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(8¹⁵, 10, F₈, 2, 14) (dual of [(10, 2), 5, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8¹⁵, 14, F₈, 2, 14) (dual of [(14, 2), 13, 15]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,13P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14, using
    - F₂ from the tower of function fields over F₈ by van der Geer and van der Vlugt [i]
linear OOA(8¹⁸, 10, F₈, 2, 17) (dual of [(10, 2), 2, 18]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8¹⁸, 14, F₈, 2, 17) (dual of [(14, 2), 10, 18]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,10P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14 (see above)
linear OOA(8¹⁹, 10, F₈, 2, 19) (dual of [(10, 2), 1, 20]-NRT-code), using
- dual of repetition NRT-code with length 10 [i]
linear OOA(8²⁰, 10, F₈, 2, 20) (dual of [(10, 2), 0, 21]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(8²⁰, 10, F₈, 2, 20) (dual of [(10, 2), 0, 21]-NRT-code) (see above)
linear OOA(8²⁰, 10, F₈, 2, 20) (dual of [(10, 2), 0, 21]-NRT-code) (see above)
linear OOA(8²⁰, 10, F₈, 2, 20) (dual of [(10, 2), 0, 21]-NRT-code) (see above)
linear OOA(8²⁰, 10, F₈, 2, 20) (dual of [(10, 2), 0, 21]-NRT-code) (see above)

Mode: Constructive and linear.

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