MinT - Information on Result #1312058

Information on Result #1312058

Linear OA(8²⁷, 202, F₈, 11) (dual of [202, 175, 12]-code), using 7 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (1, 6 times 0) based on linear OA(8²⁶, 194, F₈, 11) (dual of [194, 168, 12]-code), using

trace code [i] based on linear OA(64¹³, 97, F₆₄, 11) (dual of [97, 84, 12]-code), using
- extended algebraic-geometric code AG_e(F,85P) [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(8²⁷, 202, F₈, 2, 11) (dual of [(202, 2), 377, 12]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(8²⁷, 202, F₈, 3, 11) (dual of [(202, 3), 579, 12]-NRT-code)	[i]
3	Digital (16, 27, 202)-net over F₈	[i]