MinT - Information on Result #2450986

Information on Result #2450986

Linear OOA(8¹⁶¹, 82, F₈, 2, 146) (dual of [(82, 2), 3, 147]-NRT-code), using strength reduction based on linear OOA(8¹⁶¹, 82, F₈, 2, 147) (dual of [(82, 2), 3, 148]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(8⁹, 6, F₈, 2, 9) (dual of [(6, 2), 3, 10]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(8⁹, 8, F₈, 2, 9) (dual of [(8, 2), 7, 10]-NRT-code), using
    - Reedâ€“Solomon NRT-code RS(2;7,8) [i]
2. linear OOA(8¹⁴⁹, 76, F₈, 2, 137) (dual of [(76, 2), 3, 138]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(8⁹, 6, F₈, 2, 9) (dual of [(6, 2), 3, 10]-NRT-code) (see above)
    2. linear OOA(8¹³⁷, 70, F₈, 2, 127) (dual of [(70, 2), 3, 128]-NRT-code), using
      - juxtaposition [i] based on
        linear OOA(8⁷, 5, F₈, 2, 7) (dual of [(5, 2), 3, 8]-NRT-code), using
        discarding factors / shortening the dual code based on linear OOA(8⁷, 8, F₈, 2, 7) (dual of [(8, 2), 9, 8]-NRT-code), using
        Reedâ€“Solomon NRT-code RS(2;9,8) [i]
        linear OOA(8¹²⁷, 65, F₈, 2, 119) (dual of [(65, 2), 3, 120]-NRT-code), using
        standard lengthening with (d₀,â€¦,d₁)Â = (118,119) [i] based on linear OOA(8¹²⁵, 64, F₈, 2, 117) (dual of [(64, 2), 3, 118]-NRT-code), using algebraic-geometric NRT-code AG(2;F,10P) with known gap numbers [i] based on function field F/F₈ with g(F) = 14 and N(F) ≥ 65, using the Suzuki function field over F₈ [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.