MinT - Information on Result #2253885

Information on Result #2253885

Linear OA(9¹¹², 170, F₉, 56) (dual of [170, 58, 57]-code), using 1 times truncation based on linear OA(9¹¹³, 171, F₉, 57) (dual of [171, 58, 58]-code), using

concatenation of two codes [i] based on
1. linear OA(81²⁸, 57, F₈₁, 28) (dual of [57, 29, 29]-code or 57-arc in PG(27,81)), using
  - discarding factors / shortening the dual code based on linear OA(81²⁸, 81, F₈₁, 28) (dual of [81, 53, 29]-code or 81-arc in PG(27,81)), using
    - Reedâ€“Solomon code RS(53,81) [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(9¹¹², 85, F₉, 2, 56) (dual of [(85, 2), 58, 57]-NRT-code)	[i]		OOA Folding