MinT - Information on Result #2447140

Information on Result #2447140

Linear OOA(5⁸⁴, 81, F₅, 2, 42) (dual of [(81, 2), 78, 43]-NRT-code), using strength reduction based on linear OOA(5⁸⁴, 81, F₅, 2, 43) (dual of [(81, 2), 78, 44]-NRT-code), using

constructionÂ X applied to AG(2;F,98P) âŠ‚ AG(2;F,108P) [i] based on
1. linear OOA(5⁷⁴, 71, F₅, 2, 43) (dual of [(71, 2), 68, 44]-NRT-code), using algebraic-geometric NRT-code AG(2;F,98P) [i] based on function field F/F₅ with g(F) = 31 and N(F) ≥ 72, using
  - an explicitly constructive algebraic function field [i]
2. linear OOA(5⁶⁴, 71, F₅, 2, 33) (dual of [(71, 2), 78, 34]-NRT-code), using algebraic-geometric NRT-code AG(2;F,108P) [i] based on function field F/F₅ with g(F) = 31 and N(F) ≥ 72 (see above)
3. linear OOA(5¹⁰, 10, F₅, 2, 9) (dual of [(10, 2), 10, 10]-NRT-code), using
  - extended algebraic-geometric NRT-code AG_e(2;F,10P) [i] based on function field F/F₅ with g(F) = 1 and N(F) ≥ 10, 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.