MinT - Information on Result #1059676

Information on Result #1059676

Linear OOA(3¹²⁷, 2097677, F₃, 4, 11) (dual of [(2097677, 4), 8390581, 12]-NRT-code), using OOA 2-folding based on linear OOA(3¹²⁷, 4195354, F₃, 2, 11) (dual of [(4195354, 2), 8390581, 12]-NRT-code), using

discarding factors / shortening the dual code based on linear OOA(3¹²⁷, 4195355, F₃, 2, 11) (dual of [(4195355, 2), 8390583, 12]-NRT-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OOA(3²¹, 1054, F₃, 2, 5) (dual of [(1054, 2), 2087, 6]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3²¹, 2108, F₃, 5) (dual of [2108, 2087, 6]-code), using
      - discarding factors / shortening the dual code based on linear OA(3²¹, 2109, F₃, 5) (dual of [2109, 2088, 6]-code), using
        trace code [i] based on linear OA(27⁷, 703, F₂₇, 5) (dual of [703, 696, 6]-code), using
        a code by Danev and Olsson [i]
  2. linear OOA(3¹⁰⁶, 4194301, F₃, 2, 11) (dual of [(4194301, 2), 8388496, 12]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(3¹⁰⁶, 8388602, F₃, 11) (dual of [8388602, 8388496, 12]-code), using
      - discarding factors / shortening the dual code based on linear OA(3¹⁰⁶, large, F₃, 11) (dual of [large, large−106, 12]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 14348906Â = 3¹⁵âˆ’1, defining interval IÂ =Â [0,10], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 12 [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.