MinT - Information on Result #2462038

Information on Result #2462038

Linear OOA(3⁶⁵, 35, F₃, 2, 46) (dual of [(35, 2), 5, 47]-NRT-code), using 9 step truncation 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		Method
1	Linear OOA(3¹³⁵, 70, F₃, 2, 93) (dual of [(70, 2), 5, 94]-NRT-code)	[i]	Repeating Each Code Word for NRT-Codes
2	Linear OOA(3²⁰⁵, 105, F₃, 2, 140) (dual of [(105, 2), 5, 141]-NRT-code)	[i]	Repeating Each Code Word for NRT-Codes
3	Linear OOA(3⁸⁹, 47, F₃, 2, 62) (dual of [(47, 2), 5, 63]-NRT-code)	[i]	Juxtaposition for OOAs
4	Linear OOA(3¹⁰¹, 53, F₃, 2, 70) (dual of [(53, 2), 5, 71]-NRT-code)	[i]
5	Linear OOA(3¹⁴¹, 73, F₃, 2, 97) (dual of [(73, 2), 5, 98]-NRT-code)	[i]
6	Linear OOA(3¹⁶⁵, 85, F₃, 2, 113) (dual of [(85, 2), 5, 114]-NRT-code)	[i]
7	Linear OOA(3²¹¹, 108, F₃, 2, 144) (dual of [(108, 2), 5, 145]-NRT-code)	[i]
8	Linear OOA(3²¹⁷, 111, F₃, 2, 148) (dual of [(111, 2), 5, 149]-NRT-code)	[i]
9	Linear OOA(3²³⁵, 120, F₃, 2, 160) (dual of [(120, 2), 5, 161]-NRT-code)	[i]