MinT - Information on Result #2641748

Information on Result #2641748

Linear OOA(5¹⁴⁸, 51, F₅, 3, 127) (dual of [(51, 3), 5, 128]-NRT-code), using strength reduction based on linear OOA(5¹⁴⁸, 51, F₅, 3, 128) (dual of [(51, 3), 5, 129]-NRT-code), using

repeating each code word 3 times [i] based on linear OOA(5⁴⁶, 17, F₅, 3, 42) (dual of [(17, 3), 5, 43]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5⁴⁶, 18, F₅, 3, 42) (dual of [(18, 3), 8, 43]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,11P) [i] based on function field F/F₅ with g(F) = 4 and N(F) ≥ 18, using
    - an explicitly constructive algebraic function field [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.