MinT - Information on Result #2191004

Information on Result #2191004

Linear OA(3⁹⁰, 108, F₃, 46) (dual of [108, 18, 47]-code), using strength reduction based on linear OA(3⁹⁰, 108, F₃, 47) (dual of [108, 18, 48]-code), using

concatenation of two codes [i] based on
1. linear OA(9¹⁸, 27, F₉, 15) (dual of [27, 9, 16]-code), using
  - algebraic-geometric code AG(F,11P) [i] based on function field F/F₉ with g(F) = 3 and N(F) ≥ 28, using
    - the Hermitian function field over F₉ [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(3⁹⁰, 54, F₃, 2, 46) (dual of [(54, 2), 18, 47]-NRT-code)	[i]		OOA Folding
2	Linear OOA(3⁹⁰, 36, F₃, 3, 46) (dual of [(36, 3), 18, 47]-NRT-code)	[i]		OOA Folding