MinT - Information on Result #1184292

Information on Result #1184292

Digital (196, 212, 1195754)-net over F₃, using net defined by OOA based on linear OOA(3²¹², 1195754, F₃, 18, 16) (dual of [(1195754, 18), 21523360, 17]-NRT-code), using

OOA 4-folding and stacking with additional row [i] based on linear OOA(3²¹², 4783017, F₃, 2, 16) (dual of [(4783017, 2), 9565822, 17]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3²¹², 4783018, F₃, 2, 16) (dual of [(4783018, 2), 9565824, 17]-NRT-code), using
  - trace code [i] based on linear OOA(9¹⁰⁶, 2391509, F₉, 2, 16) (dual of [(2391509, 2), 4782912, 17]-NRT-code), using
    - OOA 2-folding [i] based on linear OA(9¹⁰⁶, 4783018, F₉, 16) (dual of [4783018, 4782912, 17]-code), using
      - constructionÂ X applied to C_e(15) âŠ‚ C_e(9) [i] based on
        linear OA(9⁹⁹, 4782969, F₉, 16) (dual of [4782969, 4782870, 17]-code), using an extension C_e(15) of the primitive narrow-sense BCH-code C(I) with length 4782968Â = 9⁷âˆ’1, defining interval IÂ =Â [1,15], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 16 [i]
        linear OA(9⁵⁷, 4782969, F₉, 10) (dual of [4782969, 4782912, 11]-code), using an extension C_e(9) of the primitive narrow-sense BCH-code C(I) with length 4782968Â = 9⁷âˆ’1, defining interval IÂ =Â [1,9], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 10 [i]
        linear OA(9⁷, 49, F₉, 5) (dual of [49, 42, 6]-code), using
        discarding factors / shortening the dual code based on linear OA(9⁷, 73, F₉, 5) (dual of [73, 66, 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

None.