MinT - Information on Result #2253902

Information on Result #2253902

Linear OA(9¹¹⁵, 173, F₉, 58) (dual of [173, 58, 59]-code), using 1 times truncation based on linear OA(9¹¹⁶, 174, F₉, 59) (dual of [174, 58, 60]-code), using

concatenation of two codes [i] based on
1. linear OA(81²⁹, 58, F₈₁, 29) (dual of [58, 29, 30]-code or 58-arc in PG(28,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²⁹, 81, F₈₁, 29) (dual of [81, 52, 30]-code or 81-arc in PG(28,81)), using
    - Reedâ€“Solomon code RS(52,81) [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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(9¹¹⁵, 86, F₉, 2, 58) (dual of [(86, 2), 57, 59]-NRT-code)	[i]		OOA Folding