MinT - Information on Result #906661

Information on Result #906661

Linear OOA(8¹⁴⁴, 77, F₈, 2, 109) (dual of [(77, 2), 10, 110]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(8¹⁶, 11, F₈, 2, 15) (dual of [(11, 2), 6, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8¹⁶, 14, F₈, 2, 15) (dual of [(14, 2), 12, 16]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,12P) [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(8¹⁹, 11, F₈, 2, 18) (dual of [(11, 2), 3, 19]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(8¹⁹, 14, F₈, 2, 18) (dual of [(14, 2), 9, 19]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,9P) [i] based on function field F/F₈ with g(F) = 1 and N(F) ≥ 14 (see above)
linear OOA(8²¹, 11, F₈, 2, 21) (dual of [(11, 2), 1, 22]-NRT-code), using
- dual of repetition NRT-code with length 11 [i]
linear OOA(8²², 11, F₈, 2, 22) (dual of [(11, 2), 0, 23]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(8²², 11, F₈, 2, 22) (dual of [(11, 2), 0, 23]-NRT-code) (see above)
linear OOA(8²², 11, F₈, 2, 22) (dual of [(11, 2), 0, 23]-NRT-code) (see above)
linear OOA(8²², 11, F₈, 2, 22) (dual of [(11, 2), 0, 23]-NRT-code) (see above)

Mode: Constructive and linear.

None.

None.