MinT - Information on Result #1061071

Information on Result #1061071

Linear OOA(3²⁴¹, 2097156, F₃, 4, 23) (dual of [(2097156, 4), 8388383, 24]-NRT-code), using OOA 2-folding based on linear OOA(3²⁴¹, 4194312, F₃, 2, 23) (dual of [(4194312, 2), 8388383, 24]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3²⁴¹, 4194313, F₃, 2, 23) (dual of [(4194313, 2), 8388385, 24]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3¹⁵, 12, F₃, 2, 11) (dual of [(12, 2), 9, 12]-NRT-code), using
    - extended algebraic-geometric NRT-code AG_e(2;F,12P) [i] based on function field F/F₃ with g(F) = 4 and N(F) ≥ 12, using
      - an explicitly constructive algebraic function field [i]
  2. linear OOA(3²²⁶, 4194301, F₃, 2, 23) (dual of [(4194301, 2), 8388376, 24]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3²²⁶, 8388602, F₃, 23) (dual of [8388602, 8388376, 24]-code), using
      - discarding factors / shortening the dual code based on linear OA(3²²⁶, large, F₃, 23) (dual of [large, large−226, 24]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,22], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 24 [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.