MinT - Information on Result #2248491

Information on Result #2248491

Linear OA(7¹⁰⁷, 131, F₇, 64) (dual of [131, 24, 65]-code), using 1 times truncation based on linear OA(7¹⁰⁸, 132, F₇, 65) (dual of [132, 24, 66]-code), using

concatenation of two codes [i] based on
1. linear OA(49³², 44, F₄₉, 32) (dual of [44, 12, 33]-code or 44-arc in PG(31,49)), using
  - discarding factors / shortening the dual code based on linear OA(49³², 49, F₄₉, 32) (dual of [49, 17, 33]-code or 49-arc in PG(31,49)), using
    - Reedâ€“Solomon code RS(17,49) [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(7¹⁰⁷, 65, F₇, 2, 64) (dual of [(65, 2), 23, 65]-NRT-code)	[i]		OOA Folding
2	Linear OOA(7¹⁰⁷, 43, F₇, 3, 64) (dual of [(43, 3), 22, 65]-NRT-code)	[i]		OOA Folding