MinT - Information on Result #869027

Information on Result #869027

Linear OOA(32⁹, 992, F₃₂, 2, 4) (dual of [(992, 2), 1975, 5]-NRT-code), using OOA 2-folding based on linear OA(32⁹, 1984, F₃₂, 4) (dual of [1984, 1975, 5]-code), using

discarding factors / shortening the dual code based on linear OA(32⁹, 1985, F₃₂, 4) (dual of [1985, 1976, 5]-code), using
- 1 times truncation [i] based on linear OA(32¹⁰, 1986, F₃₂, 5) (dual of [1986, 1976, 6]-code), using
  - (u,Â u+v)-construction [i] based on
    1. linear OA(32³, 993, F₃₂, 2) (dual of [993, 990, 3]-code), using
      - discarding factors / shortening the dual code based on linear OA(32³, 1023, F₃₂, 2) (dual of [1023, 1020, 3]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 1023Â = 32²âˆ’1, defining interval IÂ =Â [0,1], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 3 [i]
    2. linear OA(32⁷, 993, F₃₂, 5) (dual of [993, 986, 6]-code), using
      - a code by Danev and Olsson [i]

Mode: Constructive and 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(32⁴⁵, 4195293, F₃₂, 2, 8) (dual of [(4195293, 2), 8390541, 9]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(32⁵⁰, 4195293, F₃₂, 2, 9) (dual of [(4195293, 2), 8390536, 10]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs