MinT - Information on Result #1024650

Information on Result #1024650

Linear OOA(4²⁵⁴, 86, F₄, 3, 217) (dual of [(86, 3), 4, 218]-NRT-code), using repeating each code word 2 times based on linear OOA(4¹²⁵, 43, F₄, 3, 108) (dual of [(43, 3), 4, 109]-NRT-code), using

strength reduction [i] based on linear OOA(4¹²⁵, 43, F₄, 3, 109) (dual of [(43, 3), 4, 110]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(4³⁸, 14, F₄, 3, 35) (dual of [(14, 3), 4, 36]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,6P) [i] based on function field F/F₄ with g(F) = 3 and N(F) ≥ 14, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(4⁸³, 29, F₄, 3, 73) (dual of [(29, 3), 4, 74]-NRT-code), using
    - juxtaposition [i] based on
      1. linear OOA(4³⁸, 14, F₄, 3, 35) (dual of [(14, 3), 4, 36]-NRT-code) (see above)
      2. linear OOA(4⁴¹, 15, F₄, 3, 37) (dual of [(15, 3), 4, 38]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,7P) [i] based on function field F/F₄ with g(F) = 4 and N(F) ≥ 15, 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		Method
1	Linear OOA(4²⁵⁴, 86, F₄, 3, 216) (dual of [(86, 3), 4, 217]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(4²⁵⁴, 86, F₄, 3, 215) (dual of [(86, 3), 4, 216]-NRT-code)	[i]
3	Linear OOA(4²⁵⁴, 86, F₄, 3, 214) (dual of [(86, 3), 4, 215]-NRT-code)	[i]
4	Linear OOA(4²⁵⁴, 86, F₄, 3, 213) (dual of [(86, 3), 4, 214]-NRT-code)	[i]
5	Linear OOA(4²⁵⁴, 86, F₄, 3, 212) (dual of [(86, 3), 4, 213]-NRT-code)	[i]
6	Linear OOA(4²⁵⁴, 86, F₄, 3, 211) (dual of [(86, 3), 4, 212]-NRT-code)	[i]
7	Linear OOA(4²⁵⁴, 86, F₄, 3, 210) (dual of [(86, 3), 4, 211]-NRT-code)	[i]
8	Linear OOA(4²⁵⁴, 86, F₄, 3, 209) (dual of [(86, 3), 4, 210]-NRT-code)	[i]
9	Linear OOA(4²⁵⁴, 86, F₄, 3, 208) (dual of [(86, 3), 4, 209]-NRT-code)	[i]