MinT - Information on Result #2994688

Information on Result #2994688

Linear OOA(2²⁴⁹, 31, F₂, 8, 229), using 4 step truncation based on linear OOA(2²⁵³, 32, F₂, 8, 233) (dual of [(32, 8), 3, 234]-NRT-code), using

strength reduction [i] based on linear OOA(2²⁵³, 32, F₂, 8, 235) (dual of [(32, 8), 3, 236]-NRT-code), using
- juxtaposition [i] based on
  1. linear OOA(2²¹, 3, F₂, 8, 21) (dual of [(3, 8), 3, 22]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(8;3,2) [i]
  2. linear OOA(2²²⁹, 29, F₂, 8, 213) (dual of [(29, 8), 3, 214]-NRT-code), using
    - 8 step truncation [i] based on linear OOA(2²³⁷, 30, F₂, 8, 221) (dual of [(30, 8), 3, 222]-NRT-code), using
      - repeating each code word 6 times [i] based on linear OOA(2³⁷, 5, F₂, 8, 36) (dual of [(5, 8), 3, 37]-NRT-code), using
        extended algebraic-geometric NRT-code AG_e(8;F,3P) [i] based on function field F/F₂ with g(F) = 1 and N(F) ≥ 5, using
        an explicitly constructive algebraic function field [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t.

Other Results with Identical Parameters

None.

Depending Results

None.