Information on Result #1579101
Linear OOA(3170, 2259026, F3, 4, 15) (dual of [(2259026, 4), 9035934, 16]-NRT-code), using OOA 2-folding based on linear OOA(3170, 4518052, F3, 2, 15) (dual of [(4518052, 2), 9035934, 16]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3170, 4518053, F3, 2, 15) (dual of [(4518053, 2), 9035936, 16]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3170, 4518053, F3, 15) (dual of [4518053, 4517883, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3170, large, F3, 15) (dual of [large, large−170, 16]-code), using
- 20 times code embedding in larger space [i] based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- the primitive narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [1,15], and designed minimum distance d ≥ |I|+1 = 16 [i]
- 20 times code embedding in larger space [i] based on linear OA(3150, large, F3, 15) (dual of [large, large−150, 16]-code), using
- discarding factors / shortening the dual code based on linear OA(3170, large, F3, 15) (dual of [large, large−170, 16]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3170, 4518053, F3, 15) (dual of [4518053, 4517883, 16]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t.
Other Results with Identical Parameters
None.
Depending Results
None.