MinT - Information on Result #2248573

Information on Result #2248573

Linear OA(7¹⁰⁰, 146, F₇, 52) (dual of [146, 46, 53]-code), using 1 times truncation based on linear OA(7¹⁰¹, 147, F₇, 53) (dual of [147, 46, 54]-code), using

concatenation of two codes [i] based on
1. linear OA(49²⁶, 49, F₄₉, 26) (dual of [49, 23, 27]-code or 49-arc in PG(25,49)), using
  - Reedâ€“Solomon code RS(23,49) [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(7¹⁰⁰, 73, F₇, 2, 52) (dual of [(73, 2), 46, 53]-NRT-code)	[i]		OOA Folding
2	Linear OOA(7¹⁰⁰, 48, F₇, 3, 52) (dual of [(48, 3), 44, 53]-NRT-code)	[i]		OOA Folding