MinT - Information on Result #2248462

Information on Result #2248462

Linear OA(7⁸⁹, 125, F₇, 48) (dual of [125, 36, 49]-code), using 1 times truncation based on linear OA(7⁹⁰, 126, F₇, 49) (dual of [126, 36, 50]-code), using

concatenation of two codes [i] based on
1. linear OA(49²⁴, 42, F₄₉, 24) (dual of [42, 18, 25]-code or 42-arc in PG(23,49)), using
  - discarding factors / shortening the dual code based on linear OA(49²⁴, 49, F₄₉, 24) (dual of [49, 25, 25]-code or 49-arc in PG(23,49)), using
    - Reedâ€“Solomon code RS(25,49) [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, 62, F₇, 2, 48) (dual of [(62, 2), 35, 49]-NRT-code)	[i]		OOA Folding
2	Linear OOA(7⁸⁹, 41, F₇, 3, 48) (dual of [(41, 3), 34, 49]-NRT-code)	[i]		OOA Folding