MinT - Information on Result #2248515

Information on Result #2248515

Linear OA(7⁹⁰, 134, F₇, 46) (dual of [134, 44, 47]-code), using 1 times truncation based on linear OA(7⁹¹, 135, F₇, 47) (dual of [135, 44, 48]-code), using

concatenation of two codes [i] based on
1. linear OA(49²³, 45, F₄₉, 23) (dual of [45, 22, 24]-code or 45-arc in PG(22,49)), using
  - discarding factors / shortening the dual code based on linear OA(49²³, 49, F₄₉, 23) (dual of [49, 26, 24]-code or 49-arc in PG(22,49)), using
    - Reedâ€“Solomon code RS(26,49) [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(7⁹⁰, 67, F₇, 2, 46) (dual of [(67, 2), 44, 47]-NRT-code)	[i]		OOA Folding
2	Linear OOA(7⁹⁰, 44, F₇, 3, 46) (dual of [(44, 3), 42, 47]-NRT-code)	[i]		OOA Folding