MinT - Information on Result #1672935

Information on Result #1672935

Linear OOA(256⁵⁰, 642, F₂₅₆, 6, 31) (dual of [(642, 6), 3802, 32]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(256⁵⁰, 642, F₂₅₆, 3, 31) (dual of [(642, 3), 1876, 32]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(256¹⁷, 321, F₂₅₆, 3, 15) (dual of [(321, 3), 946, 16]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,947P) [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(256³³, 321, F₂₅₆, 3, 31) (dual of [(321, 3), 930, 32]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(3;F,931P) [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(256⁵¹, 642, F₂₅₆, 6, 31) (dual of [(642, 6), 3801, 32]-NRT-code)	[i]		OOA Duplication