MinT - Information on Result #1185406

Information on Result #1185406

Digital (199, 226, 40884)-net over F₃, using net defined by OOA based on linear OOA(3²²⁶, 40884, F₃, 27, 27) (dual of [(40884, 27), 1103642, 28]-NRT-code), using

OOA 13-folding and stacking with additional row [i] based on linear OA(3²²⁶, 531493, F₃, 27) (dual of [531493, 531267, 28]-code), using
- discarding factors / shortening the dual code based on linear OA(3²²⁶, 531498, F₃, 27) (dual of [531498, 531272, 28]-code), using
  - constructionÂ X applied to C_e(27) âŠ‚ C_e(21) [i] based on
    1. linear OA(3²¹⁷, 531441, F₃, 28) (dual of [531441, 531224, 29]-code), using an extension C_e(27) of the primitive narrow-sense BCH-code C(I) with length 531440Â = 3¹²âˆ’1, defining interval IÂ =Â [1,27], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 28 [i]
    2. linear OA(3¹⁶⁹, 531441, F₃, 22) (dual of [531441, 531272, 23]-code), using an extension C_e(21) of the primitive narrow-sense BCH-code C(I) with length 531440Â = 3¹²âˆ’1, defining interval IÂ =Â [1,21], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 22 [i]
    3. linear OA(3⁹, 57, F₃, 4) (dual of [57, 48, 5]-code), using
      - discarding factors / shortening the dual code based on linear OA(3⁹, 80, F₃, 4) (dual of [80, 71, 5]-code), using
        the primitive expurgated narrow-sense BCH-code C(I) with length 80Â = 3⁴âˆ’1, defining interval IÂ =Â [0,2], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 5 [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 (200, 227, 40884)-net over F₃	[i]	Net Duplication
2	Digital (201, 228, 40884)-net over F₃	[i]
3	Digital (202, 229, 40884)-net over F₃	[i]