Information on Result #1718522
Digital (133, 152, 177582)-net over F4, using net defined by OOA based on linear OOA(4152, 177582, F4, 21, 19) (dual of [(177582, 21), 3729070, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(4152, 532747, F4, 3, 19) (dual of [(532747, 3), 1598089, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4152, 532749, F4, 3, 19) (dual of [(532749, 3), 1598095, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4152, 532749, F4, 19) (dual of [532749, 532597, 20]-code), using
- discarding factors / shortening the dual code based on linear OA(4152, 1048592, F4, 19) (dual of [1048592, 1048440, 20]-code), using
- (u, u+v)-construction [i] based on
- linear OA(411, 15, F4, 9) (dual of [15, 4, 10]-code), using
- linear OA(4141, 1048577, F4, 19) (dual of [1048577, 1048436, 20]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 1048577 | 420−1, defining interval I = [0,9], and minimum distance d ≥ |{−9,−8,…,9}|+1 = 20 (BCH-bound) [i]
- (u, u+v)-construction [i] based on
- discarding factors / shortening the dual code based on linear OA(4152, 1048592, F4, 19) (dual of [1048592, 1048440, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4152, 532749, F4, 19) (dual of [532749, 532597, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(4152, 532749, F4, 3, 19) (dual of [(532749, 3), 1598095, 20]-NRT-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
None.