MinT - Information on Result #1653667

Information on Result #1653667

Linear OOA(256⁶⁴, 610, F₂₅₆, 5, 41) (dual of [(610, 5), 2986, 42]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(256²¹, 289, F₂₅₆, 5, 20) (dual of [(289, 5), 1424, 21]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,1424P) [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(256⁴³, 321, F₂₅₆, 5, 41) (dual of [(321, 5), 1562, 42]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(5;F,1563P) [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(256⁶⁴, 609, F₂₅₆, 6, 41) (dual of [(609, 6), 3590, 42]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound