Information on Result #1733782
Digital (11, 17, 2064)-net over F16, using net defined by OOA based on linear OOA(1617, 2064, F16, 10, 6) (dual of [(2064, 10), 20623, 7]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(1617, 4129, F16, 2, 6) (dual of [(4129, 2), 8241, 7]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(1617, 4130, F16, 2, 6) (dual of [(4130, 2), 8243, 7]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1617, 4130, F16, 6) (dual of [4130, 4113, 7]-code), using
- 30 step Varšamov–Edel lengthening with (ri) = (1, 29 times 0) [i] based on linear OA(1616, 4099, F16, 6) (dual of [4099, 4083, 7]-code), using
- construction X applied to Ce(5) ⊂ Ce(4) [i] based on
- linear OA(1616, 4096, F16, 6) (dual of [4096, 4080, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(1613, 4096, F16, 5) (dual of [4096, 4083, 6]-code), using an extension Ce(4) of the primitive narrow-sense BCH-code C(I) with length 4095 = 163−1, defining interval I = [1,4], and designed minimum distance d ≥ |I|+1 = 5 [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(5) ⊂ Ce(4) [i] based on
- 30 step Varšamov–Edel lengthening with (ri) = (1, 29 times 0) [i] based on linear OA(1616, 4099, F16, 6) (dual of [4099, 4083, 7]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(1617, 4130, F16, 6) (dual of [4130, 4113, 7]-code), using
- discarding factors / shortening the dual code based on linear OOA(1617, 4130, F16, 2, 6) (dual of [(4130, 2), 8243, 7]-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.