Information on Result #1722444
Digital (50, 64, 1327)-net over F5, using net defined by OOA based on linear OOA(564, 1327, F5, 21, 14) (dual of [(1327, 21), 27803, 15]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(564, 3982, F5, 3, 14) (dual of [(3982, 3), 11882, 15]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(564, 3983, F5, 3, 14) (dual of [(3983, 3), 11885, 15]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(564, 3983, F5, 14) (dual of [3983, 3919, 15]-code), using
- 845 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 11 times 0, 1, 29 times 0, 1, 66 times 0, 1, 134 times 0, 1, 236 times 0, 1, 359 times 0) [i] based on linear OA(556, 3130, F5, 14) (dual of [3130, 3074, 15]-code), using
- construction X applied to Ce(13) ⊂ Ce(12) [i] based on
- linear OA(556, 3125, F5, 14) (dual of [3125, 3069, 15]-code), using an extension Ce(13) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,13], and designed minimum distance d ≥ |I|+1 = 14 [i]
- linear OA(551, 3125, F5, 13) (dual of [3125, 3074, 14]-code), using an extension Ce(12) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,12], and designed minimum distance d ≥ |I|+1 = 13 [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(13) ⊂ Ce(12) [i] based on
- 845 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 11 times 0, 1, 29 times 0, 1, 66 times 0, 1, 134 times 0, 1, 236 times 0, 1, 359 times 0) [i] based on linear OA(556, 3130, F5, 14) (dual of [3130, 3074, 15]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(564, 3983, F5, 14) (dual of [3983, 3919, 15]-code), using
- discarding factors / shortening the dual code based on linear OOA(564, 3983, F5, 3, 14) (dual of [(3983, 3), 11885, 15]-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.