MinT - Information on Result #2239574

Information on Result #2239574

Linear OA(4¹⁹², 204, F₄, 126) (dual of [204, 12, 127]-code), using 1 times truncation based on linear OA(4¹⁹³, 205, F₄, 127) (dual of [205, 12, 128]-code), using

concatenation of two codes [i] based on
1. linear OA(16³⁵, 41, F₁₆, 31) (dual of [41, 6, 32]-code), using
  - discarding factors / shortening the dual code based on linear OA(16³⁵, 45, F₁₆, 31) (dual of [45, 10, 32]-code), using
    - extended algebraic-geometric code AG_e(F,13P) [i] based on function field F/F₁₆ with g(F) = 4 and N(F) ≥ 45, using
      - a function field by GarcÃa and Quoos [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.

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(4¹⁹², 102, F₄, 2, 126) (dual of [(102, 2), 12, 127]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4¹⁹², 68, F₄, 3, 126) (dual of [(68, 3), 12, 127]-NRT-code)	[i]		OOA Folding