MinT - Information on Result #2724716

Information on Result #2724716

Linear OOA(7¹⁰², 35, F₇, 3, 95) (dual of [(35, 3), 3, 96]-NRT-code), using 6 step truncation based on linear OOA(7¹⁰⁸, 37, F₇, 3, 101) (dual of [(37, 3), 3, 102]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(7²¹, 8, F₇, 3, 21) (dual of [(8, 3), 3, 22]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(3;3,7) [i]
2. linear OOA(7⁸⁴, 29, F₇, 3, 79) (dual of [(29, 3), 3, 80]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(7²¹, 8, F₇, 3, 21) (dual of [(8, 3), 3, 22]-NRT-code) (see above)
    2. linear OOA(7⁶⁰, 21, F₇, 3, 57) (dual of [(21, 3), 3, 58]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(7²¹, 8, F₇, 3, 21) (dual of [(8, 3), 3, 22]-NRT-code) (see above)
        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.