MinT - Information on Result #2218510

Information on Result #2218510

Linear OA(32¹⁰⁵, 108, F₃₂, 100) (dual of [108, 3, 101]-code), using strength reduction based on linear OA(32¹⁰⁵, 108, F₃₂, 101) (dual of [108, 3, 102]-code), using

juxtaposition [i] based on
1. linear OA(32⁵, 8, F₃₂, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,32)), using
  - discarding factors / shortening the dual code based on linear OA(32⁵, 32, F₃₂, 5) (dual of [32, 27, 6]-code or 32-arc in PG(4,32)), using
    - Reedâ€“Solomon code RS(27,32) [i]
2. linear OA(32⁹⁷, 100, F₃₂, 95) (dual of [100, 3, 96]-code), using
  - Denniston code D(2,32) [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(32¹⁰⁵, 54, F₃₂, 2, 100) (dual of [(54, 2), 3, 101]-NRT-code)	[i]		OOA Folding