MinT - Information on Result #2450879

Information on Result #2450879

Linear OOA(8¹⁵⁷, 81, F₈, 2, 139) (dual of [(81, 2), 5, 140]-NRT-code), using strength reduction based on linear OOA(8¹⁵⁷, 81, F₈, 2, 140) (dual of [(81, 2), 5, 141]-NRT-code), using

juxtaposition [i] based on
1. linear OOA(8¹¹, 8, F₈, 2, 11) (dual of [(8, 2), 5, 12]-NRT-code), using
  - Reedâ€“Solomon NRT-code RS(2;5,8) [i]
2. linear OOA(8¹⁴¹, 73, F₈, 2, 128) (dual of [(73, 2), 5, 129]-NRT-code), using
  - juxtaposition [i] based on
    1. linear OOA(8¹¹, 8, F₈, 2, 11) (dual of [(8, 2), 5, 12]-NRT-code) (see above)
    2. linear OOA(8¹²⁵, 65, F₈, 2, 116) (dual of [(65, 2), 5, 117]-NRT-code), using
      - standard lengthening with (d₀,â€¦,d₁)Â = (115,116) [i] based on linear OOA(8¹²³, 64, F₈, 2, 114) (dual of [(64, 2), 5, 115]-NRT-code), using algebraic-geometric NRT-code AG(2;F,13P) 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.