MinT - Information on Result #1653202

Information on Result #1653202

Linear OOA(256⁵⁹, 642, F₂₅₆, 5, 37) (dual of [(642, 5), 3151, 38]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(256⁵⁹, 642, F₂₅₆, 4, 37) (dual of [(642, 4), 2509, 38]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(256²⁰, 321, F₂₅₆, 4, 18) (dual of [(321, 4), 1264, 19]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,1265P) [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]
2. linear OOA(256³⁹, 321, F₂₅₆, 4, 37) (dual of [(321, 4), 1245, 38]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(4;F,1246P) [i] based on function field F/F₂₅₆ with g(F) = 2 and N(F) ≥ 321 (see above)

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(256⁶⁰, 642, F₂₅₆, 5, 37) (dual of [(642, 5), 3150, 38]-NRT-code)	[i]		OOA Duplication