Information on Result #1723808
Digital (82, 106, 985)-net over F5, using net defined by OOA based on linear OOA(5106, 985, F5, 27, 24) (dual of [(985, 27), 26489, 25]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(5106, 3941, F5, 3, 24) (dual of [(3941, 3), 11717, 25]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5106, 3941, F5, 24) (dual of [3941, 3835, 25]-code), using
- 801 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 4 times 0, 1, 10 times 0, 1, 23 times 0, 1, 49 times 0, 1, 94 times 0, 1, 153 times 0, 1, 209 times 0, 1, 249 times 0) [i] based on linear OA(596, 3130, F5, 24) (dual of [3130, 3034, 25]-code), using
- construction X applied to Ce(23) ⊂ Ce(22) [i] based on
- linear OA(596, 3125, F5, 24) (dual of [3125, 3029, 25]-code), using an extension Ce(23) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,23], and designed minimum distance d ≥ |I|+1 = 24 [i]
- linear OA(591, 3125, F5, 23) (dual of [3125, 3034, 24]-code), using an extension Ce(22) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,22], and designed minimum distance d ≥ |I|+1 = 23 [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(23) ⊂ Ce(22) [i] based on
- 801 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 4 times 0, 1, 10 times 0, 1, 23 times 0, 1, 49 times 0, 1, 94 times 0, 1, 153 times 0, 1, 209 times 0, 1, 249 times 0) [i] based on linear OA(596, 3130, F5, 24) (dual of [3130, 3034, 25]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5106, 3941, F5, 24) (dual of [3941, 3835, 25]-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.