MinT - Information on Result #2250063

Information on Result #2250063

Linear OA(8¹⁴⁵, 153, F₈, 112) (dual of [153, 8, 113]-code), using 1 times truncation based on linear OA(8¹⁴⁶, 154, F₈, 113) (dual of [154, 8, 114]-code), using

concatenation of two codes [i] based on
1. linear OA(64¹⁸, 22, F₆₄, 18) (dual of [22, 4, 19]-code or 22-arc in PG(17,64)), using
  - discarding factors / shortening the dual code based on linear OA(64¹⁸, 64, F₆₄, 18) (dual of [64, 46, 19]-code or 64-arc in PG(17,64)), using
    - Reedâ€“Solomon code RS(46,64) [i]
2. linear OA(8⁵, 7, F₈, 5) (dual of [7, 2, 6]-code or 7-arc in PG(4,8)), using
  - discarding factors / shortening the dual code based on linear OA(8⁵, 8, F₈, 5) (dual of [8, 3, 6]-code or 8-arc in PG(4,8)), using
    - Reedâ€“Solomon code RS(3,8) [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(8¹⁴⁵, 76, F₈, 2, 112) (dual of [(76, 2), 7, 113]-NRT-code)	[i]		OOA Folding
2	Linear OOA(8¹⁴⁵, 51, F₈, 3, 112) (dual of [(51, 3), 8, 113]-NRT-code)	[i]		OOA Folding