MinT - Information on Result #2724712

Information on Result #2724712

Linear OOA(7⁷², 25, F₇, 3, 68) (dual of [(25, 3), 3, 69]-NRT-code), using 3 step truncation based on linear OOA(7⁷⁵, 26, F₇, 3, 71) (dual of [(26, 3), 3, 72]-NRT-code), using

repeating each code word 2 times [i] based on linear OOA(7³⁶, 13, F₇, 3, 35) (dual of [(13, 3), 3, 36]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,3P) [i] based on function field F/F₇ with g(F) = 1 and N(F) ≥ 13, using
  - sharp bound on the number of rational points on curves with genus 1 [i]

Mode: 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.