MinT - Information on Result #2462077

Information on Result #2462077

Linear OOA(3⁶⁷, 36, F₃, 2, 47) (dual of [(36, 2), 5, 48]-NRT-code), using 7 step truncation based on linear OOA(3⁷⁴, 40, F₃, 2, 54) (dual of [(40, 2), 6, 55]-NRT-code), using

strength reduction [i] based on linear OOA(3⁷⁴, 40, F₃, 2, 55) (dual of [(40, 2), 6, 56]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(9⁷, 10, F₉, 7) (dual of [10, 3, 8]-code or 10-arc in PG(6,9)), using
    - extended Reedâ€“Solomon code RS_e(3,9) [i]
  2. linear OOA(3⁶, 4, F₃, 2, 6) (dual of [(4, 2), 2, 7]-NRT-code), using
    - extended Reedâ€“Solomon NRT-code RS_e(2;2,3) [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(3⁸¹, 43, F₃, 2, 56) (dual of [(43, 2), 5, 57]-NRT-code)	[i]		Juxtaposition for OOAs