MinT - Information on Result #2253420

Information on Result #2253420

Linear OA(9⁹⁴, 122, F₉, 54) (dual of [122, 28, 55]-code), using 1 times truncation based on linear OA(9⁹⁵, 123, F₉, 55) (dual of [123, 28, 56]-code), using

concatenation of two codes [i] based on
1. linear OA(81²⁷, 41, F₈₁, 27) (dual of [41, 14, 28]-code or 41-arc in PG(26,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²⁷, 81, F₈₁, 27) (dual of [81, 54, 28]-code or 81-arc in PG(26,81)), using
    - Reedâ€“Solomon code RS(54,81) [i]
2. linear OA(9¹, 3, F₉, 1) (dual of [3, 2, 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]

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(9⁹⁴, 61, F₉, 2, 54) (dual of [(61, 2), 28, 55]-NRT-code)	[i]		OOA Folding