MinT - Information on Result #2770302

Information on Result #2770302

Linear OOA(3¹²⁷, 56, F₃, 4, 64) (dual of [(56, 4), 97, 65]-NRT-code), using strength reduction based on linear OOA(3¹²⁷, 56, F₃, 4, 65) (dual of [(56, 4), 97, 66]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(3⁴⁷, 28, F₃, 4, 32) (dual of [(28, 4), 65, 33]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,79P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁸⁰, 28, F₃, 4, 65) (dual of [(28, 4), 32, 66]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,46P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28 (see above)

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.