MinT - Information on Result #2200424

Information on Result #2200424

Linear OA(4⁷⁴, 92, F₄, 40) (dual of [92, 18, 41]-code), using strength reduction based on linear OA(4⁷⁴, 92, F₄, 41) (dual of [92, 18, 42]-code), using

concatenation of two codes [i] based on
1. linear OA(16¹⁴, 23, F₁₆, 13) (dual of [23, 9, 14]-code), using
  - discarding factors / shortening the dual code based on linear OA(16¹⁴, 24, F₁₆, 13) (dual of [24, 10, 14]-code), using
    - extended algebraic-geometric code AG_e(F,10P) [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(4², 4, F₄, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,4)), using
  - Reedâ€“Solomon code RS(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.

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(4⁷⁴, 46, F₄, 2, 40) (dual of [(46, 2), 18, 41]-NRT-code)	[i]		OOA Folding