MinT - Information on Result #906167

Information on Result #906167

Linear OOA(3⁴⁹, 27, F₃, 2, 35) (dual of [(27, 2), 5, 36]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3¹⁴, 9, F₃, 2, 11) (dual of [(9, 2), 4, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁴, 10, F₃, 2, 11) (dual of [(10, 2), 6, 12]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,8P) [i] based on function field F/F₃ with g(F) = 3 and N(F) ≥ 10, using
    - an explicitly constructive algebraic function field [i]
linear OOA(3¹⁷, 9, F₃, 2, 17) (dual of [(9, 2), 1, 18]-NRT-code), using
- dual of repetition NRT-code with length 9 [i]
linear OOA(3¹⁸, 9, F₃, 2, 18) (dual of [(9, 2), 0, 19]-NRT-code), using
- complete OOA / dual of NRT-code with only one code word [i]

Mode: Constructive and linear.

None.

None.