Information on Result #1734008
Digital (24, 35, 1692)-net over F16, using net defined by OOA based on linear OOA(1635, 1692, F16, 14, 11) (dual of [(1692, 14), 23653, 12]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(1635, 5077, F16, 2, 11) (dual of [(5077, 2), 10119, 12]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1635, 5079, F16, 2, 11) (dual of [(5079, 2), 10123, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1635, 5079, F16, 11) (dual of [5079, 5044, 12]-code), using
- 976 step Varšamov–Edel lengthening with (ri) = (2, 14 times 0, 1, 178 times 0, 1, 781 times 0) [i] based on linear OA(1631, 4099, F16, 11) (dual of [4099, 4068, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- linear OA(1631, 4096, F16, 11) (dual of [4096, 4065, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(1628, 4096, F16, 10) (dual of [4096, 4068, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(160, 3, F16, 0) (dual of [3, 3, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(160, s, F16, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(10) ⊂ Ce(9) [i] based on
- 976 step Varšamov–Edel lengthening with (ri) = (2, 14 times 0, 1, 178 times 0, 1, 781 times 0) [i] based on linear OA(1631, 4099, F16, 11) (dual of [4099, 4068, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1635, 5079, F16, 11) (dual of [5079, 5044, 12]-code), using
- discarding factors / shortening the dual code based on linear OOA(1635, 5079, F16, 2, 11) (dual of [(5079, 2), 10123, 12]-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.