MinT - Information on Result #2243699

Information on Result #2243699

Linear OA(4²⁴⁵, 323, F₄, 117) (dual of [323, 78, 118]-code), using 2 times truncation based on linear OA(4²⁴⁷, 325, F₄, 119) (dual of [325, 78, 120]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁹, 65, F₆₄, 39) (dual of [65, 26, 40]-code or 65-arc in PG(38,64)), using
  - extended Reedâ€“Solomon code RS_e(26,64) [i]
  - the expurgated narrow-sense BCH-code C(I) with length 65Â | 64²âˆ’1, defining interval IÂ =Â [0,19], and minimum distance dÂ â‰¥ |{−19,−18,…,19}|+1Â =Â 40 (BCH-bound) [i]
2. linear OA(4², 5, F₄, 2) (dual of [5, 3, 3]-code or 5-arc in PG(1,4)), using
  - extended Reedâ€“Solomon code RS_e(3,4) [i]
  - Hamming code H(2,4) [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		Method
1	Linear OA(4²⁴⁸, 326, F₄, 117) (dual of [326, 78, 118]-code)	[i]	Code Embedding in Larger Space
2	Linear OA(4²⁴⁹, 327, F₄, 117) (dual of [327, 78, 118]-code)	[i]
3	Linear OA(4²⁵⁰, 328, F₄, 117) (dual of [328, 78, 118]-code)	[i]
4	Linear OA(4²⁵¹, 329, F₄, 117) (dual of [329, 78, 118]-code)	[i]
5	Linear OOA(4²⁴⁵, 161, F₄, 2, 117) (dual of [(161, 2), 77, 118]-NRT-code)	[i]	OOA Folding
6	Linear OOA(4²⁴⁵, 107, F₄, 3, 117) (dual of [(107, 3), 76, 118]-NRT-code)	[i]	OOA Folding