MinT - Information on Result #2254077

Information on Result #2254077

Linear OA(9¹⁴⁴, 212, F₉, 74) (dual of [212, 68, 75]-code), using 1 times truncation based on linear OA(9¹⁴⁵, 213, F₉, 75) (dual of [213, 68, 76]-code), using

concatenation of two codes [i] based on
1. linear OA(81³⁷, 71, F₈₁, 37) (dual of [71, 34, 38]-code or 71-arc in PG(36,81)), using
  - discarding factors / shortening the dual code based on linear OA(81³⁷, 81, F₈₁, 37) (dual of [81, 44, 38]-code or 81-arc in PG(36,81)), using
    - Reedâ€“Solomon code RS(44,81) [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(9¹⁴⁴, 106, F₉, 2, 74) (dual of [(106, 2), 68, 75]-NRT-code)	[i]		OOA Folding