MinT - Information on Result #1313039

Information on Result #1313039

Linear OA(9²⁹, 240, F₉, 12) (dual of [240, 211, 13]-code), using 3 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (1, 0, 0) based on linear OA(9²⁸, 236, F₉, 12) (dual of [236, 208, 13]-code), using

trace code [i] based on linear OA(81¹⁴, 118, F₈₁, 12) (dual of [118, 104, 13]-code), using
- extended algebraic-geometric code AG_e(F,105P) [i] based on function field F/F₈₁ with g(F) = 2 and N(F) ≥ 118, using
  - sharp bound on the number of rational points on curves with genus 2 [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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(9²⁹, 240, F₉, 2, 12) (dual of [(240, 2), 451, 13]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(9²⁹, 240, F₉, 3, 12) (dual of [(240, 3), 691, 13]-NRT-code)	[i]
3	Digital (17, 29, 240)-net over F₉	[i]