MinT - Information on Result #1568474

Information on Result #1568474

Linear OOA(256³⁷, 610, F₂₅₆, 3, 23) (dual of [(610, 3), 1793, 24]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(256¹², 289, F₂₅₆, 3, 11) (dual of [(289, 3), 855, 12]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,855P) [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(256²⁵, 321, F₂₅₆, 3, 23) (dual of [(321, 3), 938, 24]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(3;F,939P) [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(256³⁷, 610, F₂₅₆, 4, 23) (dual of [(610, 4), 2403, 24]-NRT-code)	[i]	Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Linear OOA(256³⁷, 610, F₂₅₆, 5, 23) (dual of [(610, 5), 3013, 24]-NRT-code)	[i]
3	Linear OOA(256³⁷, 610, F₂₅₆, 6, 23) (dual of [(610, 6), 3623, 24]-NRT-code)	[i]
4	Digital (14, 37, 610)-net over F₂₅₆	[i]