MinT - Information on Result #1832964

Information on Result #1832964

OOA(32⁴⁷, 4196317, S₃₂, 2, 9), using discarding parts of the base based on linear OOA(64³⁹, 4196317, F₆₄, 2, 9) (dual of [(4196317, 2), 8392595, 10]-NRT-code), using

(u,Â u+v)-construction [i] based on
1. linear OOA(64⁶, 2016, F₆₄, 2, 4) (dual of [(2016, 2), 4026, 5]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(64⁶, 4032, F₆₄, 4) (dual of [4032, 4026, 5]-code), using
    - 1 times truncation [i] based on linear OA(64⁷, 4033, F₆₄, 5) (dual of [4033, 4026, 6]-code), using
      - a code by Danev and Olsson [i]
2. linear OOA(64³³, 4194301, F₆₄, 2, 9) (dual of [(4194301, 2), 8388569, 10]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(64³³, 8388602, F₆₄, 9) (dual of [8388602, 8388569, 10]-code), using
    - discarding factors / shortening the dual code based on linear OA(64³³, large, F₆₄, 9) (dual of [large, large−33, 10]-code), using
      - the expurgated narrow-sense BCH-code C(I) with length 16777217Â | 64⁸âˆ’1, defining interval IÂ =Â [0,4], and minimum distance dÂ â‰¥ |{−4,−3,…,4}|+1Â =Â 10 (BCH-bound) [i]

Mode: Constructive.

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

The following results depend on this result:

	Result		This result only	Method
1	OOA(32⁴⁷, 2098158, S₃₂, 10, 9)	[i]		OOA Folding and Stacking with Additional Row