MinT - Information on Result #1192946

Information on Result #1192946

Digital (118, 152, 1929)-net over F₈, using net defined by OOA based on linear OOA(8¹⁵², 1929, F₈, 34, 34) (dual of [(1929, 34), 65434, 35]-NRT-code), using

OA 17-folding and stacking [i] based on linear OA(8¹⁵², 32793, F₈, 34) (dual of [32793, 32641, 35]-code), using
- discarding factors / shortening the dual code based on linear OA(8¹⁵², 32794, F₈, 34) (dual of [32794, 32642, 35]-code), using
  - constructionÂ X applied to C_e(33) âŠ‚ C_e(28) [i] based on
    1. linear OA(8¹⁴⁶, 32768, F₈, 34) (dual of [32768, 32622, 35]-code), using an extension C_e(33) of the primitive narrow-sense BCH-code C(I) with length 32767Â = 8⁵âˆ’1, defining interval IÂ =Â [1,33], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 34 [i]
    2. linear OA(8¹²⁶, 32768, F₈, 29) (dual of [32768, 32642, 30]-code), using an extension C_e(28) of the primitive narrow-sense BCH-code C(I) with length 32767Â = 8⁵âˆ’1, defining interval IÂ =Â [1,28], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 29 [i]
    3. linear OA(8⁶, 26, F₈, 4) (dual of [26, 20, 5]-code), using
      - discarding factors / shortening the dual code based on linear OA(8⁶, 56, F₈, 4) (dual of [56, 50, 5]-code), using
        1 times truncation [i] based on linear OA(8⁷, 57, F₈, 5) (dual of [57, 50, 6]-code), using
        a code by Danev and Olsson [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 (119, 153, 1929)-net over F₈	[i]	Net Duplication
2	Digital (120, 154, 1929)-net over F₈	[i]
3	Digital (121, 155, 1929)-net over F₈	[i]