MinT - Information on Result #1192696

Information on Result #1192696

Digital (85, 111, 2521)-net over F₈, using net defined by OOA based on linear OOA(8¹¹¹, 2521, F₈, 26, 26) (dual of [(2521, 26), 65435, 27]-NRT-code), using

OA 13-folding and stacking [i] based on linear OA(8¹¹¹, 32773, F₈, 26) (dual of [32773, 32662, 27]-code), using
- constructionÂ X applied to C_e(25) âŠ‚ C_e(24) [i] based on
  1. linear OA(8¹¹¹, 32768, F₈, 26) (dual of [32768, 32657, 27]-code), using an extension C_e(25) of the primitive narrow-sense BCH-code C(I) with length 32767Â = 8⁵âˆ’1, defining interval IÂ =Â [1,25], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 26 [i]
  2. linear OA(8¹⁰⁶, 32768, F₈, 25) (dual of [32768, 32662, 26]-code), using an extension C_e(24) of the primitive narrow-sense BCH-code C(I) with length 32767Â = 8⁵âˆ’1, defining interval IÂ =Â [1,24], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 25 [i]
  3. linear OA(8⁰, 5, F₈, 0) (dual of [5, 5, 1]-code), using
    - discarding factors / shortening the dual code based on linear OA(8⁰, s, F₈, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
      - OA with only one run / dual of code without redundancy [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		Method
1	Digital (86, 112, 2521)-net over F₈	[i]	Net Duplication
2	Digital (87, 113, 2521)-net over F₈	[i]
3	Digital (88, 114, 2521)-net over F₈	[i]
4	Digital (98, 124, 2530)-net over F₈	[i]	(u,Â u+v)-Construction for Nets
5	Digital (99, 125, 2535)-net over F₈	[i]
6	Digital (100, 126, 2538)-net over F₈	[i]
7	Digital (101, 127, 2545)-net over F₈	[i]
8	Digital (102, 128, 2546)-net over F₈	[i]
9	Digital (103, 129, 2549)-net over F₈	[i]
10	Digital (105, 131, 2555)-net over F₈	[i]
11	Digital (106, 132, 2556)-net over F₈	[i]