MinT - Information on Result #1179685

Information on Result #1179685

Linear OOA(81¹², 12961, F₈₁, 5, 5) (dual of [(12961, 5), 64793, 6]-NRT-code), using appending kth column based on linear OOA(81¹², 12961, F₈₁, 4, 5) (dual of [(12961, 4), 51832, 6]-NRT-code), using

OOA 2-folding and stacking with additional row [i] based on linear OA(81¹², 25923, F₈₁, 5) (dual of [25923, 25911, 6]-code), using
- discarding factors / shortening the dual code based on linear OA(81¹², 25924, F₈₁, 5) (dual of [25924, 25912, 6]-code), using
  - generalized (u,Â u+v)-construction [i] based on
    1. linear OA(81¹, 6481, F₈₁, 1) (dual of [6481, 6480, 2]-code), using
      - discarding factors / shortening the dual code based on linear OA(81¹, s, F₈₁, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
        parity-check code [i]
    2. linear OA(81¹, 6481, F₈₁, 1) (dual of [6481, 6480, 2]-code) (see above)
    3. linear OA(81³, 6481, F₈₁, 2) (dual of [6481, 6478, 3]-code), using
      - discarding factors / shortening the dual code based on linear OA(81³, 6643, F₈₁, 2) (dual of [6643, 6640, 3]-code), using
        Hamming code H(3,81) [i]
    4. linear OA(81⁷, 6481, F₈₁, 5) (dual of [6481, 6474, 6]-code), using
      - a code by Danev and Olsson [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 (7, 12, 12961)-net over F₈₁	[i]		Net Defined by OOA