Information on Result #1722354
Digital (62, 75, 30905)-net over F5, using net defined by OOA based on linear OOA(575, 30905, F5, 15, 13) (dual of [(30905, 15), 463500, 14]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(575, 61811, F5, 3, 13) (dual of [(61811, 3), 185358, 14]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(575, 61811, F5, 13) (dual of [61811, 61736, 14]-code), using
- discarding factors / shortening the dual code based on linear OA(575, 78150, F5, 13) (dual of [78150, 78075, 14]-code), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- linear OA(571, 78125, F5, 13) (dual of [78125, 78054, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [i]
- linear OA(550, 78125, F5, 9) (dual of [78125, 78075, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(54, 25, F5, 3) (dual of [25, 21, 4]-code or 25-cap in PG(3,5)), using
- construction X applied to Ce(12) ⊂ Ce(8) [i] based on
- discarding factors / shortening the dual code based on linear OA(575, 78150, F5, 13) (dual of [78150, 78075, 14]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(575, 61811, F5, 13) (dual of [61811, 61736, 14]-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.