MinT - Information on Result #1435772

Information on Result #1435772

Linear OOA(4²⁵⁷, 205448, F₄, 2, 35) (dual of [(205448, 2), 410639, 36]-NRT-code), using embedding of OOA with Gilbertâ€“VarÅ¡amov bound based on linear OA(4²⁵⁷, 205448, F₄, 35) (dual of [205448, 205191, 36]-code), using

discarding factors / shortening the dual code based on linear OA(4²⁵⁷, 262170, F₄, 35) (dual of [262170, 261913, 36]-code), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(4²², 25, F₄, 17) (dual of [25, 3, 18]-code), using
    - discarding factors / shortening the dual code based on linear OA(4²², 26, F₄, 17) (dual of [26, 4, 18]-code), using
      - 2 times truncation [i] based on linear OA(4²⁴, 28, F₄, 19) (dual of [28, 4, 20]-code), using
        an explicit generator matrix [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(4²⁵⁷, 102724, F₄, 3, 35) (dual of [(102724, 3), 307915, 36]-NRT-code)	[i]		OOA Folding