MinT - Information on Result #1672596

Information on Result #1672596

Linear OOA(256²¹, 578, F₂₅₆, 6, 13) (dual of [(578, 6), 3447, 14]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OOA(256²¹, 578, F₂₅₆, 2, 13) (dual of [(578, 2), 1135, 14]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(256⁷, 289, F₂₅₆, 2, 6) (dual of [(289, 2), 571, 7]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,571P) [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]
2. linear OOA(256¹⁴, 289, F₂₅₆, 2, 13) (dual of [(289, 2), 564, 14]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,564P) [i] based on function field F/F₂₅₆ with g(F) = 1 and N(F) ≥ 289 (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(256²¹, 577, F₂₅₆, 18, 13) (dual of [(577, 18), 10365, 14]-NRT-code)	[i]		OOA Stacking with Additional Row