Information on Result #1724028
Digital (87, 113, 743)-net over F5, using net defined by OOA based on linear OOA(5113, 743, F5, 33, 26) (dual of [(743, 33), 24406, 27]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(5113, 3716, F5, 3, 26) (dual of [(3716, 3), 11035, 27]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5113, 3718, F5, 3, 26) (dual of [(3718, 3), 11041, 27]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5113, 3718, F5, 26) (dual of [3718, 3605, 27]-code), using
- 581 step Varšamov–Edel lengthening with (ri) = (3, 0, 1, 0, 0, 1, 6 times 0, 1, 12 times 0, 1, 23 times 0, 1, 39 times 0, 1, 64 times 0, 1, 99 times 0, 1, 141 times 0, 1, 184 times 0) [i] based on linear OA(5101, 3125, F5, 26) (dual of [3125, 3024, 27]-code), using
- an extension Ce(25) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,25], and designed minimum distance d ≥ |I|+1 = 26 [i]
- 581 step Varšamov–Edel lengthening with (ri) = (3, 0, 1, 0, 0, 1, 6 times 0, 1, 12 times 0, 1, 23 times 0, 1, 39 times 0, 1, 64 times 0, 1, 99 times 0, 1, 141 times 0, 1, 184 times 0) [i] based on linear OA(5101, 3125, F5, 26) (dual of [3125, 3024, 27]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5113, 3718, F5, 26) (dual of [3718, 3605, 27]-code), using
- discarding factors / shortening the dual code based on linear OOA(5113, 3718, F5, 3, 26) (dual of [(3718, 3), 11041, 27]-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.