MinT - Information on Result #2248534

Information on Result #2248534

Linear OA(7⁸⁹, 137, F₇, 44) (dual of [137, 48, 45]-code), using 1 times truncation based on linear OA(7⁹⁰, 138, F₇, 45) (dual of [138, 48, 46]-code), using

concatenation of two codes [i] based on
1. linear OA(49²², 46, F₄₉, 22) (dual of [46, 24, 23]-code or 46-arc in PG(21,49)), using
  - discarding factors / shortening the dual code based on linear OA(49²², 49, F₄₉, 22) (dual of [49, 27, 23]-code or 49-arc in PG(21,49)), using
    - Reedâ€“Solomon code RS(27,49) [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(7⁸⁹, 68, F₇, 2, 44) (dual of [(68, 2), 47, 45]-NRT-code)	[i]		OOA Folding