MinT - Information on Result #1084721

Information on Result #1084721

Linear OOA(3¹⁷, 231, F₃, 4, 5) (dual of [(231, 4), 907, 6]-NRT-code), using generalized (u,Â u+v)-construction based on

linear OOA(3¹, 77, F₃, 4, 1) (dual of [(77, 4), 307, 2]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3¹, s, F₃, 4, 1) for arbitrarily large s, using
  - appending 3 arbitrary columns [i] based on linear OA(3¹, s, F₃, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [i]
linear OOA(3⁵, 77, F₃, 4, 2) (dual of [(77, 4), 303, 3]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3⁵, 121, F₃, 4, 2) (dual of [(121, 4), 479, 3]-NRT-code), using
  - appending 2 arbitrary columns [i] based on linear OOA(3⁵, 121, F₃, 2, 2) (dual of [(121, 2), 237, 3]-NRT-code), using
    - appending kth column [i] based on linear OA(3⁵, 121, F₃, 2) (dual of [121, 116, 3]-code), using
      - Hamming code H(5,3) [i]
linear OOA(3¹¹, 77, F₃, 4, 5) (dual of [(77, 4), 297, 6]-NRT-code), using
- extracting embedded OOA [i] based on digital (6, 11, 77)-net over F₃, using
  - linear code embedding found in a computer search [i]

Mode: Constructive and linear.

None.

The following results depend on this result: