MinT - Information on Result #2770025

Information on Result #2770025

Linear OOA(3¹¹⁹, 31, F₃, 4, 101) (dual of [(31, 4), 5, 102]-NRT-code), using strength reduction based on linear OOA(3¹¹⁹, 31, F₃, 4, 102) (dual of [(31, 4), 5, 103]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3²³, 7, F₃, 4, 22) (dual of [(7, 4), 5, 23]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;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(3⁹¹, 24, F₃, 4, 79) (dual of [(24, 4), 5, 80]-NRT-code), using
  - repeating each code word 2 times [i] based on linear OOA(3⁴³, 12, F₃, 4, 39) (dual of [(12, 4), 5, 40]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(4;F,8P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, 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(3²⁴³, 62, F₃, 4, 203) (dual of [(62, 4), 5, 204]-NRT-code)	[i]		Repeating Each Code Word for NRT-Codes