Information on Result #1478933
Linear OOA(4134, 4149934, F4, 3, 14) (dual of [(4149934, 3), 12449668, 15]-NRT-code), using OOA 2-folding based on linear OOA(4134, 8299868, F4, 2, 14) (dual of [(8299868, 2), 16599602, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4134, 8299869, F4, 2, 14) (dual of [(8299869, 2), 16599604, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4134, 8299869, F4, 14) (dual of [8299869, 8299735, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(4134, large, F4, 14) (dual of [large, large−134, 15]-code), using
- 13 times code embedding in larger space [i] based on linear OA(4121, large, F4, 14) (dual of [large, large−121, 15]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 16777215 = 412−1, defining interval I = [0,13], and designed minimum distance d ≥ |I|+1 = 15 [i]
- 13 times code embedding in larger space [i] based on linear OA(4121, large, F4, 14) (dual of [large, large−121, 15]-code), using
- discarding factors / shortening the dual code based on linear OA(4134, large, F4, 14) (dual of [large, large−134, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4134, 8299869, F4, 14) (dual of [8299869, 8299735, 15]-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.