Information on Result #1723148
Digital (62, 81, 1060)-net over F5, using net defined by OOA based on linear OOA(581, 1060, F5, 21, 19) (dual of [(1060, 21), 22179, 20]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(581, 3181, F5, 3, 19) (dual of [(3181, 3), 9462, 20]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(581, 3183, F5, 3, 19) (dual of [(3183, 3), 9468, 20]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(581, 3183, F5, 19) (dual of [3183, 3102, 20]-code), using
- 48 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 4 times 0, 1, 12 times 0, 1, 27 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
- 48 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 4 times 0, 1, 12 times 0, 1, 27 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(581, 3183, F5, 19) (dual of [3183, 3102, 20]-code), using
- discarding factors / shortening the dual code based on linear OOA(581, 3183, F5, 3, 19) (dual of [(3183, 3), 9468, 20]-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.