MinT - Information on Result #1185741

Information on Result #1185741

Linear OOA(4⁴⁶, 4893353, F₄, 6, 5) (dual of [(4893353, 6), 29360072, 6]-NRT-code), using OOA stacking with additional row based on linear OOA(4⁴⁶, 4893354, F₄, 2, 5) (dual of [(4893354, 2), 9786662, 6]-NRT-code), using

generalized (u,Â u+v)-construction [i] based on
1. linear OOA(4¹, 1398101, F₄, 2, 1) (dual of [(1398101, 2), 2796201, 2]-NRT-code), using
  - discarding factors / shortening the dual code based on linear OOA(4¹, s, F₄, 2, 1) for arbitrarily large s, using
    - appending 1 arbitrary column [i] based on linear OA(4¹, s, F₄, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
      - parity-check code [i]
2. linear OOA(4¹¹, 1398101, F₄, 2, 2) (dual of [(1398101, 2), 2796191, 3]-NRT-code), using
  - appending kth column [i] based on linear OA(4¹¹, 1398101, F₄, 2) (dual of [1398101, 1398090, 3]-code), using
    - Hamming code H(11,4) [i]
3. linear OOA(4³⁴, 2097152, F₄, 2, 5) (dual of [(2097152, 2), 4194270, 6]-NRT-code), using
  - OOA 2-folding [i] based on linear OA(4³⁴, 4194304, F₄, 5) (dual of [4194304, 4194270, 6]-code), using
    - an extension C_e(4) of the primitive narrow-sense BCH-code C(I) with length 4194303Â = 4¹¹âˆ’1, defining interval IÂ =Â [1,4], and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 5 [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 (41, 46, 4893353)-net over F₄	[i]		Net Defined by OOA