MinT - Information on Result #2802729

Information on Result #2802729

Linear OOA(3¹²², 57, F₃, 4, 58) (dual of [(57, 4), 106, 59]-NRT-code), using 3¹ times duplication based on linear OOA(3¹²¹, 57, F₃, 4, 58) (dual of [(57, 4), 107, 59]-NRT-code), using

1 times NRT-code embedding in larger space [i] based on linear OOA(3¹¹⁷, 56, F₃, 4, 58) (dual of [(56, 4), 107, 59]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3⁴⁴, 28, F₃, 4, 29) (dual of [(28, 4), 68, 30]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,82P) [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(3⁷³, 28, F₃, 4, 58) (dual of [(28, 4), 39, 59]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,53P) [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.