MinT - Information on Result #2243707

Information on Result #2243707

Linear OA(4²³³, 323, F₄, 105) (dual of [323, 90, 106]-code), using 2 times truncation based on linear OA(4²³⁵, 325, F₄, 107) (dual of [325, 90, 108]-code), using

concatenation of two codes [i] based on
1. linear OA(64³⁵, 65, F₆₄, 35) (dual of [65, 30, 36]-code or 65-arc in PG(34,64)), using
  - extended Reedâ€“Solomon code RS_e(30,64) [i]
  - the expurgated narrow-sense BCH-code C(I) with length 65Â | 64²âˆ’1, defining interval IÂ =Â [0,17], and minimum distance dÂ â‰¥ |{−17,−16,…,17}|+1Â =Â 36 (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(4²³⁶, 326, F₄, 105) (dual of [326, 90, 106]-code)	[i]	Code Embedding in Larger Space
2	Linear OA(4²³⁷, 327, F₄, 105) (dual of [327, 90, 106]-code)	[i]
3	Linear OA(4²³⁸, 328, F₄, 105) (dual of [328, 90, 106]-code)	[i]
4	Linear OA(4²³⁹, 329, F₄, 105) (dual of [329, 90, 106]-code)	[i]
5	Linear OOA(4²³³, 161, F₄, 2, 105) (dual of [(161, 2), 89, 106]-NRT-code)	[i]	OOA Folding
6	Linear OOA(4²³³, 107, F₄, 3, 105) (dual of [(107, 3), 88, 106]-NRT-code)	[i]	OOA Folding