Information on Result #1486151
Linear OOA(5140, 1596, F5, 3, 34) (dual of [(1596, 3), 4648, 35]-NRT-code), using OOA 2-folding based on linear OOA(5140, 3192, F5, 2, 34) (dual of [(3192, 2), 6244, 35]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5140, 3193, F5, 2, 34) (dual of [(3193, 2), 6246, 35]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5140, 3193, F5, 34) (dual of [3193, 3053, 35]-code), using
- 59 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 14 times 0, 1, 39 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
- 59 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 0, 1, 14 times 0, 1, 39 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(5140, 3193, F5, 34) (dual of [3193, 3053, 35]-code), using
Mode: Linear.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
Other Results with Identical Parameters
None.
Depending Results
None.