MinT - Information on Result #1195741

Information on Result #1195741

Linear OOA(16¹²¹, 9364, F₁₆, 29, 29) (dual of [(9364, 29), 271435, 30]-NRT-code), using OOA 14-folding and stacking with additional row based on linear OA(16¹²¹, 131097, F₁₆, 29) (dual of [131097, 130976, 30]-code), using

1 times code embedding in larger space [i] based on linear OA(16¹²⁰, 131096, F₁₆, 29) (dual of [131096, 130976, 30]-code), using
- trace code [i] based on linear OA(256⁶⁰, 65548, F₂₅₆, 29) (dual of [65548, 65488, 30]-code), using
  - constructionÂ X applied to C([0,14]) âŠ‚ C([0,12]) [i] based on
    1. linear OA(256⁵⁷, 65537, F₂₅₆, 29) (dual of [65537, 65480, 30]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537Â | 256⁴âˆ’1, defining interval IÂ =Â [0,14], and minimum distance dÂ â‰¥ |{−14,−13,…,14}|+1Â =Â 30 (BCH-bound) [i]
    2. linear OA(256⁴⁹, 65537, F₂₅₆, 25) (dual of [65537, 65488, 26]-code), using the expurgated narrow-sense BCH-code C(I) with length 65537Â | 256⁴âˆ’1, defining interval IÂ =Â [0,12], and minimum distance dÂ â‰¥ |{−12,−11,…,12}|+1Â =Â 26 (BCH-bound) [i]
    3. linear OA(256³, 11, F₂₅₆, 3) (dual of [11, 8, 4]-code or 11-arc in PG(2,256) or 11-cap in PG(2,256)), using
      - discarding factors / shortening the dual code based on linear OA(256³, 256, F₂₅₆, 3) (dual of [256, 253, 4]-code or 256-arc in PG(2,256) or 256-cap in PG(2,256)), using
        Reedâ€“Solomon code RS(253,256) [i]

Mode: Constructive and linear.

Results with these parameters are outside the parameter range considered by MinT and show only up in construction trees.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Digital (92, 121, 9364)-net over F₁₆	[i]		Net Defined by OOA