MinT - Information on Result #2251419

Information on Result #2251419

Linear OA(8¹⁵⁸, 194, F₈, 94) (dual of [194, 36, 95]-code), using 1 times truncation based on linear OA(8¹⁵⁹, 195, F₈, 95) (dual of [195, 36, 96]-code), using

concatenation of two codes [i] based on
1. linear OA(64⁴⁷, 65, F₆₄, 47) (dual of [65, 18, 48]-code or 65-arc in PG(46,64)), using
  - extended Reedâ€“Solomon code RS_e(18,64) [i]
  - the expurgated narrow-sense BCH-code C(I) with length 65Â | 64²âˆ’1, defining interval IÂ =Â [0,23], and minimum distance dÂ â‰¥ |{−23,−22,…,23}|+1Â =Â 48 (BCH-bound) [i]
2. linear OA(8¹, 3, F₈, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(8¹, s, F₈, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [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(8¹⁵⁸, 97, F₈, 2, 94) (dual of [(97, 2), 36, 95]-NRT-code)	[i]		OOA Folding
2	Linear OOA(8¹⁵⁸, 64, F₈, 3, 94) (dual of [(64, 3), 34, 95]-NRT-code)	[i]		OOA Folding