MinT - Information on Result #2215426

Information on Result #2215426

Linear OA(9⁸³, 87, F₉, 72) (dual of [87, 4, 73]-code), using strength reduction based on linear OA(9⁸³, 87, F₉, 73) (dual of [87, 4, 74]-code), using

juxtaposition [i] based on
1. linear OA(9¹, 5, F₉, 1) (dual of [5, 4, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(9¹, s, F₉, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
    - parity-check code [i]
2. linear OA(9⁷⁸, 82, F₉, 71) (dual of [82, 4, 72]-code), using
  - projective code from ovoid in PG(3,Â 9) [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(9⁸³, 29, F₉, 3, 72) (dual of [(29, 3), 4, 73]-NRT-code)	[i]		OOA Folding