Information on Result #1723160
Digital (68, 87, 1508)-net over F5, using net defined by OOA based on linear OOA(587, 1508, F5, 21, 19) (dual of [(1508, 21), 31581, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(587, 4525, F5, 3, 19) (dual of [(4525, 3), 13488, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(587, 4525, F5, 19) (dual of [4525, 4438, 20]-code), using
- 1384 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 4 times 0, 1, 12 times 0, 1, 27 times 0, 1, 57 times 0, 1, 112 times 0, 1, 188 times 0, 1, 266 times 0, 1, 330 times 0, 1, 377 times 0) [i] based on linear OA(576, 3130, F5, 19) (dual of [3130, 3054, 20]-code), using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- linear OA(576, 3125, F5, 19) (dual of [3125, 3049, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(571, 3125, F5, 18) (dual of [3125, 3054, 19]-code), using an extension Ce(17) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,17], and designed minimum distance d ≥ |I|+1 = 18 [i]
- linear OA(50, 5, F5, 0) (dual of [5, 5, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(18) ⊂ Ce(17) [i] based on
- 1384 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 4 times 0, 1, 12 times 0, 1, 27 times 0, 1, 57 times 0, 1, 112 times 0, 1, 188 times 0, 1, 266 times 0, 1, 330 times 0, 1, 377 times 0) [i] based on linear OA(576, 3130, F5, 19) (dual of [3130, 3054, 20]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(587, 4525, F5, 19) (dual of [4525, 4438, 20]-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.