MinT - Information on Result #2243710

Information on Result #2243710

Linear OA(4²²⁸, 324, F₄, 100) (dual of [324, 96, 101]-code), using 1 times truncation based on linear OA(4²²⁹, 325, F₄, 101) (dual of [325, 96, 102]-code), using

concatenation of two codes [i] based on
1. linear OA(64³³, 65, F₆₄, 33) (dual of [65, 32, 34]-code or 65-arc in PG(32,64)), using
  - extended Reedâ€“Solomon code RS_e(32,64) [i]
  - the expurgated narrow-sense BCH-code C(I) with length 65Â | 64²âˆ’1, defining interval IÂ =Â [0,16], and minimum distance dÂ â‰¥ |{−16,−15,…,16}|+1Â =Â 34 (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(4²³⁰, 326, F₄, 100) (dual of [326, 96, 101]-code)	[i]	Code Embedding in Larger Space
2	Linear OA(4²³¹, 327, F₄, 100) (dual of [327, 96, 101]-code)	[i]
3	Linear OA(4²³², 328, F₄, 100) (dual of [328, 96, 101]-code)	[i]
4	Linear OA(4²³³, 329, F₄, 100) (dual of [329, 96, 101]-code)	[i]
5	Linear OA(4²³⁴, 330, F₄, 100) (dual of [330, 96, 101]-code)	[i]
6	Linear OOA(4²²⁸, 162, F₄, 2, 100) (dual of [(162, 2), 96, 101]-NRT-code)	[i]	OOA Folding
7	Linear OOA(4²²⁸, 108, F₄, 3, 100) (dual of [(108, 3), 96, 101]-NRT-code)	[i]	OOA Folding