MinT - Information on Result #2248271

Information on Result #2248271

Linear OA(7⁹¹, 107, F₇, 58) (dual of [107, 16, 59]-code), using 1 times truncation based on linear OA(7⁹², 108, F₇, 59) (dual of [108, 16, 60]-code), using

concatenation of two codes [i] based on
1. linear OA(49¹⁹, 27, F₄₉, 19) (dual of [27, 8, 20]-code or 27-arc in PG(18,49)), using
  - discarding factors / shortening the dual code based on linear OA(49¹⁹, 49, F₄₉, 19) (dual of [49, 30, 20]-code or 49-arc in PG(18,49)), using
    - Reedâ€“Solomon code RS(30,49) [i]
2. linear OA(7², 4, F₇, 2) (dual of [4, 2, 3]-code or 4-arc in PG(1,7)), using
  - discarding factors / shortening the dual code based on linear OA(7², 7, F₇, 2) (dual of [7, 5, 3]-code or 7-arc in PG(1,7)), using
    - Reedâ€“Solomon code RS(5,7) [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(7⁹¹, 53, F₇, 2, 58) (dual of [(53, 2), 15, 59]-NRT-code)	[i]		OOA Folding
2	Linear OOA(7⁹¹, 35, F₇, 3, 58) (dual of [(35, 3), 14, 59]-NRT-code)	[i]		OOA Folding