Information on Result #1476131
Linear OOA(3239, 3843017, F3, 3, 20) (dual of [(3843017, 3), 11528812, 21]-NRT-code), using OOA 2-folding based on linear OOA(3239, 7686034, F3, 2, 20) (dual of [(7686034, 2), 15371829, 21]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3239, 7686035, F3, 2, 20) (dual of [(7686035, 2), 15371831, 21]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3239, 7686035, F3, 20) (dual of [7686035, 7685796, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3239, large, F3, 20) (dual of [large, large−239, 21]-code), using
- 43 times code embedding in larger space [i] based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 14348906 = 315−1, defining interval I = [0,19], and designed minimum distance d ≥ |I|+1 = 21 [i]
- 43 times code embedding in larger space [i] based on linear OA(3196, large, F3, 20) (dual of [large, large−196, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(3239, large, F3, 20) (dual of [large, large−239, 21]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3239, 7686035, F3, 20) (dual of [7686035, 7685796, 21]-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.