Information on Result #1727722
Digital (45, 62, 1379)-net over F8, using net defined by OOA based on linear OOA(862, 1379, F8, 21, 17) (dual of [(1379, 21), 28897, 18]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(862, 4138, F8, 3, 17) (dual of [(4138, 3), 12352, 18]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(862, 4138, F8, 17) (dual of [4138, 4076, 18]-code), using
- 33 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 7 times 0, 1, 22 times 0) [i] based on linear OA(858, 4101, F8, 17) (dual of [4101, 4043, 18]-code), using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- linear OA(857, 4096, F8, 17) (dual of [4096, 4039, 18]-code), using an extension Ce(16) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,16], and designed minimum distance d ≥ |I|+1 = 17 [i]
- linear OA(853, 4096, F8, 15) (dual of [4096, 4043, 16]-code), using an extension Ce(14) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,14], and designed minimum distance d ≥ |I|+1 = 15 [i]
- linear OA(81, 5, F8, 1) (dual of [5, 4, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(81, s, F8, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(16) ⊂ Ce(14) [i] based on
- 33 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 7 times 0, 1, 22 times 0) [i] based on linear OA(858, 4101, F8, 17) (dual of [4101, 4043, 18]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(862, 4138, F8, 17) (dual of [4138, 4076, 18]-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.