MinT - Information on Result #1466552

Information on Result #1466552

Linear OOA(256⁵¹, 610, F₂₅₆, 2, 32) (dual of [(610, 2), 1169, 33]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(256¹⁷, 289, F₂₅₆, 2, 16) (dual of [(289, 2), 561, 17]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,561P) [i] based on function field F/F₂₅₆ with g(F) = 1 and N(F) ≥ 289, using
  - sharp bound on the number of rational points on curves with genus 1 [i]
linear OOA(256³⁴, 321, F₂₅₆, 2, 32) (dual of [(321, 2), 608, 33]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,609P) [i] based on function field F/F₂₅₆ with g(F) = 2 and N(F) ≥ 321, using
  - sharp bound on the number of rational points on curves with genus 2 [i]

Mode: Linear.

None.

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(256⁵¹, 523, F₂₅₆, 3, 32) (dual of [(523, 3), 1518, 33]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound