MinT - Information on Result #2248496

Information on Result #2248496

Linear OA(7⁹⁷, 131, F₇, 54) (dual of [131, 34, 55]-code), using 1 times truncation based on linear OA(7⁹⁸, 132, F₇, 55) (dual of [132, 34, 56]-code), using

concatenation of two codes [i] based on
1. linear OA(49²⁷, 44, F₄₉, 27) (dual of [44, 17, 28]-code or 44-arc in PG(26,49)), using
  - discarding factors / shortening the dual code based on linear OA(49²⁷, 49, F₄₉, 27) (dual of [49, 22, 28]-code or 49-arc in PG(26,49)), using
    - Reedâ€“Solomon code RS(22,49) [i]
2. linear OA(7¹, 3, F₇, 1) (dual of [3, 2, 2]-code), using
  - discarding factors / shortening the dual code based on linear OA(7¹, s, F₇, 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(7⁹⁷, 65, F₇, 2, 54) (dual of [(65, 2), 33, 55]-NRT-code)	[i]		OOA Folding
2	Linear OOA(7⁹⁷, 43, F₇, 3, 54) (dual of [(43, 3), 32, 55]-NRT-code)	[i]		OOA Folding