MinT - Information on Result #1546907

Information on Result #1546907

Linear OOA(4²⁶⁰, 233046, F₄, 3, 35) (dual of [(233046, 3), 698878, 36]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(4²⁶⁰, 233046, F₄, 35) (dual of [233046, 232786, 36]-code), using

discarding factors / shortening the dual code based on linear OA(4²⁶⁰, 262175, F₄, 35) (dual of [262175, 261915, 36]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(4²⁵, 30, F₄, 17) (dual of [30, 5, 18]-code), using
    - (u,Â uâˆ’v,Â u+v+w)-construction [i] based on
      1. linear OA(4⁶, 10, F₄, 5) (dual of [10, 4, 6]-code), using
        discarding factors / shortening the dual code based on linear OA(4⁶, 12, F₄, 5) (dual of [12, 6, 6]-code), using
        extended quadratic residue code Q_e(12,4) [i]
      2. linear OA(4⁹, 10, F₄, 8) (dual of [10, 1, 9]-code), using
        strength reduction [i] based on linear OA(4⁹, 10, F₄, 9) (dual of [10, 1, 10]-code or 10-arc in PG(8,4)), using
        dual of repetition code with length 10 [i]
      3. linear OA(4¹⁰, 10, F₄, 10) (dual of [10, 0, 11]-code or 10-arc in PG(9,4)), using
        complete OA / dual of code with only one code word [i]
  2. linear OA(4²³⁵, 262145, F₄, 35) (dual of [262145, 261910, 36]-code), using
    - the expurgated narrow-sense BCH-code C(I) with length 262145Â | 4¹⁸âˆ’1, defining interval IÂ =Â [0,17], and minimum distance dÂ â‰¥ |{−17,−16,…,17}|+1Â =Â 36 (BCH-bound) [i]

Mode: 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

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(4²⁶⁰, 38840, F₄, 39, 35) (dual of [(38840, 39), 1514500, 36]-NRT-code)	[i]		OOA Folding and Stacking with Additional Row