Information on Result #1721834
Digital (36, 44, 38229)-net over F5, using net defined by OOA based on linear OOA(544, 38229, F5, 10, 8) (dual of [(38229, 10), 382246, 9]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(544, 76459, F5, 2, 8) (dual of [(76459, 2), 152874, 9]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(544, 76459, F5, 8) (dual of [76459, 76415, 9]-code), using
- discarding factors / shortening the dual code based on linear OA(544, 78140, F5, 8) (dual of [78140, 78096, 9]-code), using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- linear OA(543, 78125, F5, 8) (dual of [78125, 78082, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(529, 78125, F5, 6) (dual of [78125, 78096, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(51, 15, F5, 1) (dual of [15, 14, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(7) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(544, 78140, F5, 8) (dual of [78140, 78096, 9]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(544, 76459, F5, 8) (dual of [76459, 76415, 9]-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.