MinT - Information on Result #2461802

Information on Result #2461802

Linear OOA(3³⁴, 20, F₃, 2, 24) (dual of [(20, 2), 6, 25]-NRT-code), using 2 step truncation based on linear OOA(3³⁶, 21, F₃, 2, 26) (dual of [(21, 2), 6, 27]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3⁹, 7, F₃, 2, 8) (dual of [(7, 2), 5, 9]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,5P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3¹³, 7, F₃, 2, 13) (dual of [(7, 2), 1, 14]-NRT-code), using
  - dual of repetition NRT-code with length 7 [i]
3. linear OOA(3¹⁴, 7, F₃, 2, 14) (dual of [(7, 2), 0, 15]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [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

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3¹⁷⁸, 92, F₃, 2, 120) (dual of [(92, 2), 6, 121]-NRT-code)	[i]		Juxtaposition for OOAs
2	Linear OOA(3³⁴, 10, F₃, 4, 24) (dual of [(10, 4), 6, 25]-NRT-code)	[i]		OOA Folding