Information on Result #1724198
Digital (92, 120, 705)-net over F5, using net defined by OOA based on linear OOA(5120, 705, F5, 33, 28) (dual of [(705, 33), 23145, 29]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(5120, 3526, F5, 3, 28) (dual of [(3526, 3), 10458, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(5120, 3529, F5, 3, 28) (dual of [(3529, 3), 10467, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5120, 3529, F5, 28) (dual of [3529, 3409, 29]-code), using
- 390 step Varšamov–Edel lengthening with (ri) = (2, 1, 0, 0, 1, 5 times 0, 1, 14 times 0, 1, 31 times 0, 1, 63 times 0, 1, 109 times 0, 1, 158 times 0) [i] based on linear OA(5111, 3130, F5, 28) (dual of [3130, 3019, 29]-code), using
- construction X applied to Ce(27) ⊂ Ce(26) [i] based on
- 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(5106, 3125, F5, 27) (dual of [3125, 3019, 28]-code), using an extension Ce(26) of the primitive narrow-sense BCH-code C(I) with length 3124 = 55−1, defining interval I = [1,26], and designed minimum distance d ≥ |I|+1 = 27 [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(27) ⊂ Ce(26) [i] based on
- 390 step Varšamov–Edel lengthening with (ri) = (2, 1, 0, 0, 1, 5 times 0, 1, 14 times 0, 1, 31 times 0, 1, 63 times 0, 1, 109 times 0, 1, 158 times 0) [i] based on linear OA(5111, 3130, F5, 28) (dual of [3130, 3019, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(5120, 3529, F5, 28) (dual of [3529, 3409, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(5120, 3529, F5, 3, 28) (dual of [(3529, 3), 10467, 29]-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.