Information on Result #1734068
Digital (26, 38, 1633)-net over F16, using net defined by OOA based on linear OOA(1638, 1633, F16, 14, 12) (dual of [(1633, 14), 22824, 13]-NRT-code), using
- OOA 3-folding and stacking with additional row [i] based on linear OOA(1638, 4900, F16, 2, 12) (dual of [(4900, 2), 9762, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1638, 4900, F16, 12) (dual of [4900, 4862, 13]-code), using
- 797 step Varšamov–Edel lengthening with (ri) = (2, 14 times 0, 1, 155 times 0, 1, 625 times 0) [i] based on linear OA(1634, 4099, F16, 12) (dual of [4099, 4065, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(1634, 4096, F16, 12) (dual of [4096, 4062, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- 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(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(11) ⊂ Ce(10) [i] based on
- 797 step Varšamov–Edel lengthening with (ri) = (2, 14 times 0, 1, 155 times 0, 1, 625 times 0) [i] based on linear OA(1634, 4099, F16, 12) (dual of [4099, 4065, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1638, 4900, F16, 12) (dual of [4900, 4862, 13]-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.