MinT - Information on Result #1466473

Information on Result #1466473

Linear OOA(64¹⁴, 146, F₆₄, 2, 9) (dual of [(146, 2), 278, 10]-NRT-code), using (u,Â u+v)-construction based on

linear OOA(64⁴, 65, F₆₄, 2, 4) (dual of [(65, 2), 126, 5]-NRT-code), using
- extended Reedâ€“Solomon NRT-code RS_e(2;126,64) [i]
linear OOA(64¹⁰, 81, F₆₄, 2, 9) (dual of [(81, 2), 152, 10]-NRT-code), using
- extended algebraic-geometric NRT-code AG_e(2;F,152P) [i] based on function field F/F₆₄ with g(F) = 1 and N(F) ≥ 81, using
  - sharp bound on the number of rational points on curves with genus 1 [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		This result only	Method
1	Linear OOA(64¹⁴, 146, F₆₄, 3, 9) (dual of [(146, 3), 424, 10]-NRT-code)	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound
2	Digital (5, 14, 146)-net over F₆₄	[i]		Embedding of OOA with Gilbertâ€“VarÅ¡amov Bound