MinT - Information on Result #1846616

Information on Result #1846616

(7, 16, 546)-net in base 128, using base change based on digital (5, 14, 546)-net over F₂₅₆, using

embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(256¹⁴, 546, F₂₅₆, 2, 9) (dual of [(546, 2), 1078, 10]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(256⁴, 257, F₂₅₆, 2, 4) (dual of [(257, 2), 510, 5]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;510,256) [i]
  2. linear OOA(256¹⁰, 289, F₂₅₆, 2, 9) (dual of [(289, 2), 568, 10]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,568P) [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]

Mode: Arbitrary.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	OOA(128¹⁶, 546, S₁₂₈, 2, 9)	[i]		Extracting Embedded OOA
2	OOA(128¹⁶, 546, S₁₂₈, 3, 9)	[i]
3	OOA(128¹⁶, 546, S₁₂₈, 4, 9)	[i]