MinT - Information on Result #2248188

Information on Result #2248188

Linear OA(7⁹⁰, 102, F₇, 60) (dual of [102, 12, 61]-code), using 3 times truncation based on linear OA(7⁹³, 105, F₇, 63) (dual of [105, 12, 64]-code), using

concatenation of two codes [i] based on
1. linear OA(49¹⁵, 21, F₄₉, 15) (dual of [21, 6, 16]-code or 21-arc in PG(14,49)), using
  - discarding factors / shortening the dual code based on linear OA(49¹⁵, 49, F₄₉, 15) (dual of [49, 34, 16]-code or 49-arc in PG(14,49)), using
    - Reedâ€“Solomon code RS(34,49) [i]
2. linear OA(7³, 5, F₇, 3) (dual of [5, 2, 4]-code or 5-arc in PG(2,7) or 5-cap in PG(2,7)), using
  - discarding factors / shortening the dual code based on linear OA(7³, 7, F₇, 3) (dual of [7, 4, 4]-code or 7-arc in PG(2,7) or 7-cap in PG(2,7)), using
    - Reedâ€“Solomon code RS(4,7) [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.

Other Results with Identical Parameters

None.

Depending Results

The following results depend on this result:

	Result		This result only	Method
1	Linear OOA(7⁹⁰, 51, F₇, 2, 60) (dual of [(51, 2), 12, 61]-NRT-code)	[i]		OOA Folding
2	Linear OOA(7⁹⁰, 34, F₇, 3, 60) (dual of [(34, 3), 12, 61]-NRT-code)	[i]		OOA Folding