Information on Result #1724550
Digital (105, 139, 525)-net over F5, using net defined by OOA based on linear OOA(5139, 525, F5, 39, 34) (dual of [(525, 39), 20336, 35]-NRT-code), using
- OOA 6-folding and stacking with additional row [i] based on linear OOA(5139, 3151, F5, 3, 34) (dual of [(3151, 3), 9314, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5139, 3152, F5, 3, 34) (dual of [(3152, 3), 9317, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5139, 3152, F5, 34) (dual of [3152, 3013, 35]-code), using
- 19 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 14 times 0) [i] based on linear OA(5136, 3130, F5, 34) (dual of [3130, 2994, 35]-code), using
- construction X applied to Ce(33) ⊂ Ce(32) [i] based on
- linear OA(5136, 3125, F5, 34) (dual of [3125, 2989, 35]-code), using an extension Ce(33) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,33], and designed minimum distance d ≥ |I|+1 = 34 [i]
- linear OA(5131, 3125, F5, 33) (dual of [3125, 2994, 34]-code), using an extension Ce(32) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,32], and designed minimum distance d ≥ |I|+1 = 33 [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(33) ⊂ Ce(32) [i] based on
- 19 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 14 times 0) [i] based on linear OA(5136, 3130, F5, 34) (dual of [3130, 2994, 35]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5139, 3152, F5, 34) (dual of [3152, 3013, 35]-code), using
- discarding factors / shortening the dual code based on linear OOA(5139, 3152, F5, 3, 34) (dual of [(3152, 3), 9317, 35]-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.