MinT - Information on Result #1312042

Information on Result #1312042

Linear OA(8²¹, 165, F₈, 9) (dual of [165, 144, 10]-code), using 2 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (1, 0) based on linear OA(8²⁰, 162, F₈, 9) (dual of [162, 142, 10]-code), using

trace code [i] based on linear OA(64¹⁰, 81, F₆₄, 9) (dual of [81, 71, 10]-code), using
- extended algebraic-geometric code AG_e(F,71P) [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 81, 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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Linear OOA(8²¹, 165, F₈, 2, 9) (dual of [(165, 2), 309, 10]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(8²¹, 165, F₈, 3, 9) (dual of [(165, 3), 474, 10]-NRT-code)	[i]
3	Digital (12, 21, 165)-net over F₈	[i]