MinT - Information on Result #2806327

Information on Result #2806327

Linear OOA(3²¹⁸, 57, F₃, 4, 174) (dual of [(57, 4), 10, 175]-NRT-code), using 1 times NRT-code embedding in larger space based on linear OOA(3²¹⁴, 56, F₃, 4, 174) (dual of [(56, 4), 10, 175]-NRT-code), using

strength reduction [i] based on linear OOA(3²¹⁴, 56, F₃, 4, 175) (dual of [(56, 4), 10, 176]-NRT-code), using
- repeating each code word 2 times [i] based on linear OOA(3¹⁰², 28, F₃, 4, 87) (dual of [(28, 4), 10, 88]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,24P) [i] based on function field F/F₃ with g(F) = 15 and N(F) ≥ 28, using
    - an explicitly constructive algebraic function field [i]

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.