MinT - Information on Result #1298208

Information on Result #1298208

Linear OA(3⁹³, 117, F₃, 43) (dual of [117, 24, 44]-code), using constructionÂ X with VarÅ¡amov bound based on

linear OA(3⁸⁹, 111, F₃, 43) (dual of [111, 22, 44]-code), using
- 1 times truncation [i] based on linear OA(3⁹⁰, 112, F₃, 44) (dual of [112, 22, 45]-code), using
  - concatenation of two codes [i] based on
    1. linear OA(9¹⁷, 28, F₉, 14) (dual of [28, 11, 15]-code), using
      - extended algebraic-geometric code AG_e(F,13P) [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]
linear OA(3⁸⁹, 113, F₃, 40) (dual of [113, 24, 41]-code), using Gilbertâ€“VarÅ¡amov bound and b^mÂ = 3⁸⁹Â > V_b^sâˆ’1(kâˆ’1)Â = 1 608826 119753 002912 866980 037122 777137 394369 [i]
linear OA(3², 4, F₃, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,3)) (see above)

Mode: Linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OA(3⁹⁴, 119, F₃, 43) (dual of [119, 25, 44]-code)	[i]		ConstructionÂ X with VarÅ¡amov Bound