MinT - Information on Result #1315999

Information on Result #1315999

Linear OA(64⁷⁹, 533, F₆₄, 45) (dual of [533, 454, 46]-code), using 13 step VarÅ¡amovâ€“Edel lengthening with (r_i)Â = (4, 0, 0, 1, 9 times 0) based on linear OA(64⁷⁴, 515, F₆₄, 45) (dual of [515, 441, 46]-code), using

constructionÂ X applied to AG(F,466P) âŠ‚ AG(F,468P) [i] based on
1. linear OA(64⁷³, 512, F₆₄, 45) (dual of [512, 439, 46]-code), using algebraic-geometric code AG(F,466P) [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513, using
  - the Hermitian function field over F₆₄ [i]
2. linear OA(64⁷¹, 512, F₆₄, 43) (dual of [512, 441, 44]-code), using algebraic-geometric code AG(F,468P) [i] based on function field F/F₆₄ with g(F) = 28 and N(F) ≥ 513 (see above)
3. linear OA(64¹, 3, F₆₄, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(64¹, s, F₆₄, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [i]

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

None.