MinT - Information on Result #2438350

Information on Result #2438350

Linear OOA(3²⁵⁰, 148, F₃, 2, 130) (dual of [(148, 2), 46, 131]-NRT-code), using strength reduction based on linear OOA(3²⁵⁰, 148, F₃, 2, 131) (dual of [(148, 2), 46, 132]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(9⁵¹, 37, F₉, 2, 43) (dual of [(37, 2), 23, 44]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(9⁵¹, 39, F₉, 2, 43) (dual of [(39, 2), 27, 44]-NRT-code), using
    - algebraic-geometric NRT-code AG(2;F,34P) [i] based on function field F/F₉ with g(F) = 8 and N(F) ≥ 40, using
      - a function field by SÃ©mirat [i]
2. linear OA(3², 4, F₃, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)), using
  - extended Reedâ€“Solomon code RS_e(2,3) [i]
  - Hamming code H(2,3) [i]
  - Simplex code S(2,3) [i]
  - the Tetracode [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(3²⁵⁰, 74, F₃, 4, 130) (dual of [(74, 4), 46, 131]-NRT-code)	[i]		OOA Folding