MinT - Information on Result #2253627

Information on Result #2253627

Linear OA(9⁹⁶, 140, F₉, 50) (dual of [140, 44, 51]-code), using 1 times truncation based on linear OA(9⁹⁷, 141, F₉, 51) (dual of [141, 44, 52]-code), using

concatenation of two codes [i] based on
1. linear OA(81²⁵, 47, F₈₁, 25) (dual of [47, 22, 26]-code or 47-arc in PG(24,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²⁵, 81, F₈₁, 25) (dual of [81, 56, 26]-code or 81-arc in PG(24,81)), using
    - Reedâ€“Solomon code RS(56,81) [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(9⁹⁶, 70, F₉, 2, 50) (dual of [(70, 2), 44, 51]-NRT-code)	[i]		OOA Folding