MinT - Information on Result #906663

Information on Result #906663

Linear OOA(8¹⁶², 84, F₈, 2, 137) (dual of [(84, 2), 6, 138]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(8²³, 14, F₈, 2, 22) (dual of [(14, 2), 5, 23]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,5P) [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(8²⁷, 14, F₈, 2, 27) (dual of [(14, 2), 1, 28]-NRT-code), using
- dual of repetition NRT-code with length 14 [i]
linear OOA(8²⁸, 14, F₈, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]
linear OOA(8²⁸, 14, F₈, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code) (see above)
linear OOA(8²⁸, 14, F₈, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code) (see above)
linear OOA(8²⁸, 14, F₈, 2, 28) (dual of [(14, 2), 0, 29]-NRT-code) (see above)

Mode: Constructive and linear.

None.

None.