MinT - Information on Result #2297328

Information on Result #2297328

Linear OA(4¹¹⁵, 125, F₄, 78) (dual of [125, 10, 79]-code), using strength reduction based on linear OA(4¹¹⁵, 125, F₄, 79) (dual of [125, 10, 80]-code), using

concatenation of two codes [i] based on
1. linear OA(16²⁰, 25, F₁₆, 19) (dual of [25, 5, 20]-code), using
  - extended algebraic-geometric code AG_e(F,5P) [i] based on function field F/F₁₆ with g(F) = 1 and N(F) ≥ 25, using
    - sharp bound on the number of rational points on curves with genus 1 [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: 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 OA(4¹¹⁴, 124, F₄, 77) (dual of [124, 10, 78]-code)	[i]		Truncation
2	Linear OA(4¹¹³, 123, F₄, 76) (dual of [123, 10, 77]-code)	[i]		Truncation