MinT - Information on Result #2248257

Information on Result #2248257

Linear OA(7⁶⁶, 98, F₇, 34) (dual of [98, 32, 35]-code), using 1 times truncation based on linear OA(7⁶⁷, 99, F₇, 35) (dual of [99, 32, 36]-code), using

concatenation of two codes [i] based on
1. linear OA(49¹⁷, 33, F₄₉, 17) (dual of [33, 16, 18]-code or 33-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(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.

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(7⁶⁶, 49, F₇, 2, 34) (dual of [(49, 2), 32, 35]-NRT-code)	[i]		OOA Folding
2	Linear OOA(7⁶⁶, 32, F₇, 3, 34) (dual of [(32, 3), 30, 35]-NRT-code)	[i]		OOA Folding