MinT - Information on Result #906667

Information on Result #906667

Linear OOA(8¹⁴⁸, 78, F₈, 2, 119) (dual of [(78, 2), 8, 120]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(8²⁰, 13, F₈, 2, 19) (dual of [(13, 2), 6, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8²⁰, 14, F₈, 2, 19) (dual of [(14, 2), 8, 20]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,8P) [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(8²⁴, 13, F₈, 2, 23) (dual of [(13, 2), 2, 24]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8²⁴, 14, F₈, 2, 23) (dual of [(14, 2), 4, 24]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,4P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14 (see above)
linear OOA(8²⁶, 13, F₈, 2, 26) (dual of [(13, 2), 0, 27]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(8²⁶, 13, F₈, 2, 26) (dual of [(13, 2), 0, 27]-NRT-code) (see above)
linear OOA(8²⁶, 13, F₈, 2, 26) (dual of [(13, 2), 0, 27]-NRT-code) (see above)
linear OOA(8²⁶, 13, F₈, 2, 26) (dual of [(13, 2), 0, 27]-NRT-code) (see above)

Mode: Constructive and linear.

None.

None.