MinT - Information on Result #2626212

Information on Result #2626212

Linear OOA(3²⁰³, 72, F₃, 3, 142) (dual of [(72, 3), 13, 143]-NRT-code), using strength reduction based on linear OOA(3²⁰³, 72, F₃, 3, 143) (dual of [(72, 3), 13, 144]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(3⁶⁰, 24, F₃, 3, 47) (dual of [(24, 3), 12, 48]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,24P) [i] based on function field F/F₃ with g(F) = 13 and N(F) ≥ 24, using
    - a function field by SÃ©mirat [i]
2. linear OOA(3⁷¹, 24, F₃, 3, 71) (dual of [(24, 3), 1, 72]-NRT-code), using
  - dual of repetition NRT-code with length 24 [i]
3. linear OOA(3⁷², 24, F₃, 3, 72) (dual of [(24, 3), 0, 73]-NRT-code), using
  - complete OOA / dual of NRT-code with only one code word [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(3²⁰⁰, 71, F₃, 3, 139) (dual of [(71, 3), 13, 140]-NRT-code)	[i]		Truncation for OOAs
2	Linear OOA(3¹⁹⁷, 70, F₃, 3, 136) (dual of [(70, 3), 13, 137]-NRT-code)	[i]		Truncation for OOAs