MinT - Information on Result #2986563

Information on Result #2986563

Linear OOA(2¹⁸⁴, 25, F₂, 8, 147) (dual of [(25, 8), 16, 148]-NRT-code), using strength reduction based on linear OOA(2¹⁸⁴, 25, F₂, 8, 149) (dual of [(25, 8), 16, 150]-NRT-code), using

constructionÂ X applied to AG(8;F,0P) âŠ‚ AG(8;F,34P) [i] based on
1. linear OOA(2¹⁵¹, 19, F₂, 8, 151) (dual of [(19, 8), 1, 152]-NRT-code), using algebraic-geometric NRT-code AG(8;F,0P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹³⁶, 19, F₂, 8, 117) (dual of [(19, 8), 16, 118]-NRT-code), using algebraic-geometric NRT-code AG(8;F,34P) [i] based on function field F/F₂ with g(F) = 19 and N(F) ≥ 20 (see above)
3. linear OOA(2³³, 6, F₂, 8, 31) (dual of [(6, 8), 15, 32]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(8;F,16P) [i] based on function field F/F₂ with g(F) = 2 and N(F) ≥ 6, using
    - an explicitly constructive algebraic function field [i]

Mode: Constructive and 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

None.