MinT - Information on Result #2622179

Information on Result #2622179

Linear OOA(3¹²⁵, 44, F₃, 3, 96) (dual of [(44, 3), 7, 97]-NRT-code), using strength reduction based on linear OOA(3¹²⁵, 44, F₃, 3, 97) (dual of [(44, 3), 7, 98]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁴¹, 16, F₃, 3, 34) (dual of [(16, 3), 7, 35]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₃ with g(F) = 7 and N(F) ≥ 16, using
    - an explicitly constructive algebraic function field [i]
2. linear OOA(3⁷⁷, 28, F₃, 3, 62) (dual of [(28, 3), 7, 63]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,21P) [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

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3²¹², 84, F₃, 3, 96) (dual of [(84, 3), 40, 97]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs