MinT - Information on Result #2248221

Information on Result #2248221

Linear OA(7⁸³, 99, F₇, 52) (dual of [99, 16, 53]-code), using 1 times truncation based on linear OA(7⁸⁴, 100, F₇, 53) (dual of [100, 16, 54]-code), using

concatenation of two codes [i] based on
1. linear OA(49¹⁷, 25, F₄₉, 17) (dual of [25, 8, 18]-code or 25-arc in PG(16,49)), using
  - discarding factors / shortening the dual code based on linear OA(49¹⁷, 49, F₄₉, 17) (dual of [49, 32, 18]-code or 49-arc in PG(16,49)), using
    - Reedâ€“Solomon code RS(32,49) [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.

Compare with Markus Grassl’s online database of code parameters.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(7⁸³, 49, F₇, 2, 52) (dual of [(49, 2), 15, 53]-NRT-code)	[i]		OOA Folding
2	Linear OOA(7⁸³, 33, F₇, 3, 52) (dual of [(33, 3), 16, 53]-NRT-code)	[i]		OOA Folding