MinT - Information on Result #2236268

Information on Result #2236268

Linear OA(4¹⁰⁶, 114, F₄, 74) (dual of [114, 8, 75]-code), using 1 times truncation based on linear OA(4¹⁰⁷, 115, F₄, 75) (dual of [115, 8, 76]-code), using

concatenation of two codes [i] based on
1. linear OA(16¹⁹, 23, F₁₆, 18) (dual of [23, 4, 19]-code), using
  - discarding factors / shortening the dual code based on linear OA(16¹⁹, 24, F₁₆, 18) (dual of [24, 5, 19]-code), using
    - extended algebraic-geometric code AG_e(F,5P) [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.

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(4¹⁰⁶, 57, F₄, 2, 74) (dual of [(57, 2), 8, 75]-NRT-code)	[i]		OOA Folding
2	Linear OOA(4¹⁰⁶, 38, F₄, 3, 74) (dual of [(38, 3), 8, 75]-NRT-code)	[i]		OOA Folding