MinT - Information on Result #2240383

Information on Result #2240383

Linear OA(4¹⁹⁵, 213, F₄, 121) (dual of [213, 18, 122]-code), using 2 times truncation based on linear OA(4¹⁹⁷, 215, F₄, 123) (dual of [215, 18, 124]-code), using

concatenation of two codes [i] based on
1. linear OA(16³⁴, 43, F₁₆, 30) (dual of [43, 9, 31]-code), using
  - discarding factors / shortening the dual code based on linear OA(16³⁴, 45, F₁₆, 30) (dual of [45, 11, 31]-code), using
    - extended algebraic-geometric code AG_e(F,14P) [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(4¹⁹⁵, 106, F₄, 2, 121) (dual of [(106, 2), 17, 122]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4¹⁹⁵, 71, F₄, 3, 121) (dual of [(71, 3), 18, 122]-NRT-code)	[i]		OOA Folding