MinT - Information on Result #2622806

Information on Result #2622806

Linear OOA(3¹⁴⁰, 48, F₃, 3, 109) (dual of [(48, 3), 4, 110]-NRT-code), using strength reduction based on linear OOA(3¹⁴⁰, 48, F₃, 3, 111) (dual of [(48, 3), 4, 112]-NRT-code), using

repeating each code word 8 times [i] based on linear OOA(3¹⁴, 6, F₃, 3, 13) (dual of [(6, 3), 4, 14]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹⁴, 7, F₃, 3, 13) (dual of [(7, 3), 7, 14]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₃ with g(F) = 1 and N(F) ≥ 7, 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

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3²³⁹, 94, F₃, 3, 109) (dual of [(94, 3), 43, 110]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs