MinT - Information on Result #2530911

Information on Result #2530911

Linear OOA(7⁶⁵, 34, F₇, 2, 58) (dual of [(34, 2), 3, 59]-NRT-code), using strength reduction based on linear OOA(7⁶⁵, 34, F₇, 2, 59) (dual of [(34, 2), 3, 60]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(7¹³, 8, F₇, 2, 13) (dual of [(8, 2), 3, 14]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(2;3,7) [i]
2. linear OOA(7⁴⁹, 26, F₇, 2, 45) (dual of [(26, 2), 3, 46]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(7²³, 13, F₇, 2, 22) (dual of [(13, 2), 3, 23]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;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.