MinT - Information on Result #864946

Information on Result #864946

Linear OOA(27¹⁰, 703, F₂₇, 2, 5) (dual of [(703, 2), 1396, 6]-NRT-code), using OOA 2-folding based on linear OA(27¹⁰, 1406, F₂₇, 5) (dual of [1406, 1396, 6]-code), using

(u,Â u+v)-construction [i] based on
1. linear OA(27³, 703, F₂₇, 2) (dual of [703, 700, 3]-code), using
  - discarding factors / shortening the dual code based on linear OA(27³, 728, F₂₇, 2) (dual of [728, 725, 3]-code), using
    - the primitive expurgated narrow-sense BCH-code C(I) with length 728Â = 27²âˆ’1, defining interval IÂ =Â [0,1], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 3 [i]
2. linear OA(27⁷, 703, F₂₇, 5) (dual of [703, 696, 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(27⁵⁶, 4195004, F₂₇, 2, 10) (dual of [(4195004, 2), 8389952, 11]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs
2	Linear OOA(27⁶¹, 4195004, F₂₇, 2, 11) (dual of [(4195004, 2), 8389947, 12]-NRT-code)	[i]		(u,Â u+v)-Construction for OOAs