MinT - Information on Result #1568483

Information on Result #1568483

Linear OOA(256⁴², 610, F₂₅₆, 3, 26) (dual of [(610, 3), 1788, 27]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(256¹⁴, 289, F₂₅₆, 3, 13) (dual of [(289, 3), 853, 14]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,853P) [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(256²⁸, 321, F₂₅₆, 3, 26) (dual of [(321, 3), 935, 27]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,936P) [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		Method
1	Linear OOA(256⁴², 610, F₂₅₆, 4, 26) (dual of [(610, 4), 2398, 27]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(256⁴², 610, F₂₅₆, 5, 26) (dual of [(610, 5), 3008, 27]-NRT-code)	[i]
3	Linear OOA(256⁴², 610, F₂₅₆, 6, 26) (dual of [(610, 6), 3618, 27]-NRT-code)	[i]
4	Digital (16, 42, 610)-net over F₂₅₆	[i]