MinT - Information on Result #2248140

Information on Result #2248140

Linear OA(7⁷⁶, 90, F₇, 48) (dual of [90, 14, 49]-code), using 2 times truncation based on linear OA(7⁷⁸, 92, F₇, 50) (dual of [92, 14, 51]-code), using

concatenation of two codes [i] based on
1. linear OA(49¹⁶, 23, F₄₉, 16) (dual of [23, 7, 17]-code or 23-arc in PG(15,49)), using
  - discarding factors / shortening the dual code based on linear OA(49¹⁶, 49, F₄₉, 16) (dual of [49, 33, 17]-code or 49-arc in PG(15,49)), using
    - Reedâ€“Solomon code RS(33,49) [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(7⁷⁶, 45, F₇, 2, 48) (dual of [(45, 2), 14, 49]-NRT-code)	[i]		OOA Folding
2	Linear OOA(7⁷⁶, 30, F₇, 3, 48) (dual of [(30, 3), 14, 49]-NRT-code)	[i]		OOA Folding