MinT - Information on Result #1310358

Information on Result #1310358

Linear OA(5²³, 75, F₅, 10) (dual of [75, 52, 11]-code), using 2 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (1, 0) based on linear OA(5²², 72, F₅, 10) (dual of [72, 50, 11]-code), using

trace code [i] based on linear OA(25¹¹, 36, F₂₅, 10) (dual of [36, 25, 11]-code), using
- extended algebraic-geometric code AG_e(F,25P) [i] based on function field F/F₂₅ with g(F) = 1 and N(F) ≥ 36, using
  - sharp bound on the number of rational points on curves with genus 1 [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		Method
1	Linear OOA(5²³, 75, F₅, 2, 10) (dual of [(75, 2), 127, 11]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(5²³, 75, F₅, 3, 10) (dual of [(75, 3), 202, 11]-NRT-code)	[i]
3	Digital (13, 23, 75)-net over F₅	[i]