MinT - Information on Result #2442071

Information on Result #2442071

Linear OOA(4¹⁸⁶, 105, F₄, 2, 118) (dual of [(105, 2), 24, 119]-NRT-code), using strength reduction based on linear OOA(4¹⁸⁶, 105, F₄, 2, 119) (dual of [(105, 2), 24, 120]-NRT-code), using

concatenation of two NRT-codes [i] based on
1. linear OOA(16³⁰, 21, F₁₆, 2, 29) (dual of [(21, 2), 12, 30]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(16³⁰, 24, F₁₆, 2, 29) (dual of [(24, 2), 18, 30]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,18P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 24, using
      - a function field by SÃ©mirat [i]
2. linear OA(4³, 5, F₄, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,4) or 5-cap in PG(2,4)), using
  - extended Reedâ€“Solomon code RS_e(2,4) [i]
  - Simplex code S(2,4) [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		Method
1	Linear OOA(4¹⁸⁵, 104, F₄, 2, 117) (dual of [(104, 2), 23, 118]-NRT-code)	[i]	Truncation for OOAs
2	Linear OOA(4¹⁸³, 103, F₄, 2, 115) (dual of [(103, 2), 23, 116]-NRT-code)	[i]
3	Linear OOA(4¹⁸², 103, F₄, 2, 114) (dual of [(103, 2), 24, 115]-NRT-code)	[i]
4	Linear OOA(4¹⁸¹, 102, F₄, 2, 113) (dual of [(102, 2), 23, 114]-NRT-code)	[i]
5	Linear OOA(4¹⁸⁰, 102, F₄, 2, 112) (dual of [(102, 2), 24, 113]-NRT-code)	[i]
6	Linear OOA(4¹⁷⁹, 101, F₄, 2, 111) (dual of [(101, 2), 23, 112]-NRT-code)	[i]
7	Linear OOA(4¹⁷⁸, 101, F₄, 2, 110) (dual of [(101, 2), 24, 111]-NRT-code)	[i]
8	Linear OOA(4¹⁷⁷, 100, F₄, 2, 109) (dual of [(100, 2), 23, 110]-NRT-code)	[i]