Information on Result #1724276
Digital (95, 124, 710)-net over F5, using net defined by OOA based on linear OOA(5124, 710, F5, 33, 29) (dual of [(710, 33), 23306, 30]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(5124, 3551, F5, 3, 29) (dual of [(3551, 3), 10529, 30]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5124, 3551, F5, 29) (dual of [3551, 3427, 30]-code), using
- 413 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 6 times 0, 1, 16 times 0, 1, 36 times 0, 1, 69 times 0, 1, 116 times 0, 1, 161 times 0) [i] based on linear OA(5116, 3130, F5, 29) (dual of [3130, 3014, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(27) [i] based on
- linear OA(5116, 3125, F5, 29) (dual of [3125, 3009, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(5111, 3125, F5, 28) (dual of [3125, 3014, 29]-code), using an extension Ce(27) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,27], and designed minimum distance d ≥ |I|+1 = 28 [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(28) ⊂ Ce(27) [i] based on
- 413 step Varšamov–Edel lengthening with (ri) = (2, 0, 0, 1, 6 times 0, 1, 16 times 0, 1, 36 times 0, 1, 69 times 0, 1, 116 times 0, 1, 161 times 0) [i] based on linear OA(5116, 3130, F5, 29) (dual of [3130, 3014, 30]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5124, 3551, F5, 29) (dual of [3551, 3427, 30]-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.