MinT - Information on Result #1748183

Information on Result #1748183

Linear OOA(256¹⁷, 545, F₂₅₆, 15, 11) (dual of [(545, 15), 8158, 12]-NRT-code), using OOA stacking with additional row based on linear OOA(256¹⁷, 546, F₂₅₆, 5, 11) (dual of [(546, 5), 2713, 12]-NRT-code), using

embedding of OOA with Gilbertâ€“VarÅ¡amov bound [i] based on linear OOA(256¹⁷, 546, F₂₅₆, 3, 11) (dual of [(546, 3), 1621, 12]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(256⁵, 257, F₂₅₆, 3, 5) (dual of [(257, 3), 766, 6]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(3;766,256) [i]
  2. linear OOA(256¹², 289, F₂₅₆, 3, 11) (dual of [(289, 3), 855, 12]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(3;F,855P) [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: Linear.

Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (6, 17, 545)-net over F₂₅₆	[i]		Net Defined by OOA