MinT - Information on Result #941507

Information on Result #941507

Linear OOA(3¹⁵³, 78, F₃, 2, 123) (dual of [(78, 2), 3, 124]-NRT-code), using repeating each code word 2 times based on linear OOA(3⁷⁵, 39, F₃, 2, 61) (dual of [(39, 2), 3, 62]-NRT-code), using

1 step truncation [i] based on linear OOA(3⁷⁶, 40, F₃, 2, 62) (dual of [(40, 2), 4, 63]-NRT-code), using
- concatenation of two NRT-codes [i] based on
  1. linear OA(9⁸, 10, F₉, 8) (dual of [10, 2, 9]-code or 10-arc in PG(7,9)), using
    - extended Reedâ€“Solomon code RS_e(2,9) [i]
    - Simplex code S(2,9) [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(3¹⁵³, 78, F₃, 2, 122) (dual of [(78, 2), 3, 123]-NRT-code)	[i]	Strength Reduction for OOAs
2	Linear OOA(3¹⁵², 77, F₃, 2, 122) (dual of [(77, 2), 2, 123]-NRT-code)	[i]	Truncation for OOAs
3	Linear OOA(3¹⁵¹, 77, F₃, 2, 121) (dual of [(77, 2), 3, 122]-NRT-code)	[i]	Truncation for OOAs
4	Linear OOA(3¹⁵⁹, 81, F₃, 2, 127) (dual of [(81, 2), 3, 128]-NRT-code)	[i]	Juxtaposition for OOAs
5	Linear OOA(3¹⁶¹, 82, F₃, 2, 129) (dual of [(82, 2), 3, 130]-NRT-code)	[i]
6	Linear OOA(3¹⁶⁵, 84, F₃, 2, 132) (dual of [(84, 2), 3, 133]-NRT-code)	[i]
7	Linear OOA(3¹⁶⁷, 85, F₃, 2, 134) (dual of [(85, 2), 3, 135]-NRT-code)	[i]
8	Linear OOA(3¹⁵³, 39, F₃, 4, 123) (dual of [(39, 4), 3, 124]-NRT-code)	[i]	OOA Folding