MinT - Information on Result #2664782

Information on Result #2664782

Linear OOA(8¹⁶², 55, F₈, 3, 151) (dual of [(55, 3), 3, 152]-NRT-code), using 9 step truncation based on linear OOA(8¹⁷¹, 58, F₈, 3, 160) (dual of [(58, 3), 3, 161]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(8²¹, 8, F₈, 3, 21) (dual of [(8, 3), 3, 22]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(3;3,8) [i]
2. linear OOA(8¹⁴⁷, 50, F₈, 3, 138) (dual of [(50, 3), 3, 139]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(8²¹, 8, F₈, 3, 21) (dual of [(8, 3), 3, 22]-NRT-code) (see above)
    2. linear OOA(8¹²³, 42, F₈, 3, 116) (dual of [(42, 3), 3, 117]-NRT-code), using
      - repeating each code word 3 times [i] based on linear OOA(8³⁹, 14, F₈, 3, 38) (dual of [(14, 3), 3, 39]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,3P) [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]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.