Information on Result #1715174
Digital (103, 127, 773)-net over F3, using net defined by OOA based on linear OOA(3127, 773, F3, 28, 24) (dual of [(773, 28), 21517, 25]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(3127, 2320, F3, 4, 24) (dual of [(2320, 4), 9153, 25]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(3127, 2322, F3, 4, 24) (dual of [(2322, 4), 9161, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3127, 2322, F3, 24) (dual of [2322, 2195, 25]-code), using
- 120 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 1, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 7 times 0, 1, 9 times 0, 1, 13 times 0, 1, 17 times 0, 1, 24 times 0, 1, 30 times 0) [i] based on linear OA(3112, 2187, F3, 24) (dual of [2187, 2075, 25]-code), using
- 1 times truncation [i] based on linear OA(3113, 2188, F3, 25) (dual of [2188, 2075, 26]-code), using
- the expurgated narrow-sense BCH-code C(I) with length 2188 | 314−1, defining interval I = [0,12], and minimum distance d ≥ |{−12,−11,…,12}|+1 = 26 (BCH-bound) [i]
- 1 times truncation [i] based on linear OA(3113, 2188, F3, 25) (dual of [2188, 2075, 26]-code), using
- 120 step Varšamov–Edel lengthening with (ri) = (4, 1, 1, 1, 0, 1, 0, 0, 0, 1, 4 times 0, 1, 7 times 0, 1, 9 times 0, 1, 13 times 0, 1, 17 times 0, 1, 24 times 0, 1, 30 times 0) [i] based on linear OA(3112, 2187, F3, 24) (dual of [2187, 2075, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(3127, 2322, F3, 24) (dual of [2322, 2195, 25]-code), using
- discarding factors / shortening the dual code based on linear OOA(3127, 2322, F3, 4, 24) (dual of [(2322, 4), 9161, 25]-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.