MinT - Information on Result #2629147

Information on Result #2629147

Linear OOA(3²⁵⁰, 86, F₃, 3, 185) (dual of [(86, 3), 8, 186]-NRT-code), using strength reduction based on linear OOA(3²⁵⁰, 86, F₃, 3, 186) (dual of [(86, 3), 8, 187]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(3⁴⁰, 16, F₃, 3, 33) (dual of [(16, 3), 8, 34]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,14P) [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(3²⁰², 70, F₃, 3, 152) (dual of [(70, 3), 8, 153]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(3³⁴, 14, F₃, 3, 28) (dual of [(14, 3), 8, 29]-NRT-code), using
      - extended algebraic-geometric NRT-code AG_e(3;F,13P) [i] based on function field F/F₃ with g(F) = 6 and N(F) ≥ 14, using
        an explicitly constructive algebraic function field [i]
    2. linear OOA(3¹⁶⁰, 56, F₃, 3, 123) (dual of [(56, 3), 8, 124]-NRT-code), using
      - repeating each code word 2 times [i] based on linear OOA(3⁷⁶, 28, F₃, 3, 61) (dual of [(28, 3), 8, 62]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(3;F,22P) [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(3²⁴⁸, 85, F₃, 3, 183) (dual of [(85, 3), 7, 184]-NRT-code)	[i]		Truncation for OOAs
2	Linear OOA(3²⁴⁷, 85, F₃, 3, 182) (dual of [(85, 3), 8, 183]-NRT-code)	[i]		Truncation for OOAs