MinT - Information on Result #2761642

Information on Result #2761642

Linear OOA(2¹⁵³, 44, F₂, 4, 92) (dual of [(44, 4), 23, 93]-NRT-code), using strength reduction based on linear OOA(2¹⁵³, 44, F₂, 4, 93) (dual of [(44, 4), 23, 94]-NRT-code), using

constructionÂ X applied to AG(4;F,70P) âŠ‚ AG(4;F,77P) [i] based on
1. linear OOA(2¹⁴⁷, 41, F₂, 4, 93) (dual of [(41, 4), 17, 94]-NRT-code), using algebraic-geometric NRT-code AG(4;F,70P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(2¹⁴⁰, 41, F₂, 4, 86) (dual of [(41, 4), 24, 87]-NRT-code), using algebraic-geometric NRT-code AG(4;F,77P) [i] based on function field F/F₂ with g(F) = 54 and N(F) ≥ 42 (see above)
3. linear OOA(2⁶, 3, F₂, 4, 6) (dual of [(3, 4), 6, 7]-NRT-code), using
  - extended Reedâ€“Solomon NRT-code RS_e(4;6,2) [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.