MinT - Information on Result #1312069

Information on Result #1312069

Linear OA(8²⁹, 198, F₈, 12) (dual of [198, 169, 13]-code), using 3 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (1, 0, 0) based on linear OA(8²⁸, 194, F₈, 12) (dual of [194, 166, 13]-code), using

trace code [i] based on linear OA(64¹⁴, 97, F₆₄, 12) (dual of [97, 83, 13]-code), using
- extended algebraic-geometric code AG_e(F,84P) [i] based on function field F/F₆₄ with g(F) = 2 and N(F) ≥ 97, 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(8²⁹, 198, F₈, 2, 12) (dual of [(198, 2), 367, 13]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(8²⁹, 198, F₈, 3, 12) (dual of [(198, 3), 565, 13]-NRT-code)	[i]
3	Digital (17, 29, 198)-net over F₈	[i]