Information on Result #1717432
Digital (38, 48, 2072)-net over F4, using net defined by OOA based on linear OOA(448, 2072, F4, 15, 10) (dual of [(2072, 15), 31032, 11]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(448, 4145, F4, 3, 10) (dual of [(4145, 3), 12387, 11]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(448, 4146, F4, 3, 10) (dual of [(4146, 3), 12390, 11]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(448, 4146, F4, 10) (dual of [4146, 4098, 11]-code), using
- 39 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 4 times 0, 1, 9 times 0, 1, 21 times 0) [i] based on linear OA(443, 4102, F4, 10) (dual of [4102, 4059, 11]-code), using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- linear OA(443, 4096, F4, 10) (dual of [4096, 4053, 11]-code), using an extension Ce(9) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,9], and designed minimum distance d ≥ |I|+1 = 10 [i]
- linear OA(437, 4096, F4, 9) (dual of [4096, 4059, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 4095 = 46−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [i]
- linear OA(40, 6, F4, 0) (dual of [6, 6, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(40, s, F4, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(9) ⊂ Ce(8) [i] based on
- 39 step Varšamov–Edel lengthening with (ri) = (2, 0, 1, 4 times 0, 1, 9 times 0, 1, 21 times 0) [i] based on linear OA(443, 4102, F4, 10) (dual of [4102, 4059, 11]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(448, 4146, F4, 10) (dual of [4146, 4098, 11]-code), using
- discarding factors / shortening the dual code based on linear OOA(448, 4146, F4, 3, 10) (dual of [(4146, 3), 12390, 11]-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.