MinT - Information on Result #1827338

Information on Result #1827338

OOA(32¹⁴, 32705, S₃₂, 2, 5), using OOA 2-folding based on OA(32¹⁴, 65410, S₃₂, 5), using

discarding parts of the base [i] based on OA(128¹⁰, 65410, S₁₂₈, 5), using
- (u,Â u+v)-construction [i] based on
  1. linear OA(128², 129, F₁₂₈, 2) (dual of [129, 127, 3]-code or 129-arc in PG(1,128)), using
    - extended Reedâ€“Solomon code RS_e(127,128) [i]
    - Hamming code H(2,128) [i]
  2. OA(128⁸, 65281, S₁₂₈, 5), using
    - discarding parts of the base [i] based on linear OA(256⁷, 65281, F₂₅₆, 5) (dual of [65281, 65274, 6]-code), using
      - a code by Danev and Olsson [i]

Mode: Constructive.

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	OOA(32⁵⁹, 4227006, S₃₂, 2, 10)	[i]		(u,Â u+v)-Construction for OOAs
2	OOA(32⁶⁴, 4227006, S₃₂, 2, 11)	[i]		(u,Â u+v)-Construction for OOAs