Information on Result #1726246
Digital (54, 76, 507)-net over F7, using net defined by OOA based on linear OOA(776, 507, F7, 27, 22) (dual of [(507, 27), 13613, 23]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(776, 2029, F7, 3, 22) (dual of [(2029, 3), 6011, 23]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(776, 2031, F7, 3, 22) (dual of [(2031, 3), 6017, 23]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(776, 2031, F7, 22) (dual of [2031, 1955, 23]-code), using
- discarding factors / shortening the dual code based on linear OA(776, 2412, F7, 22) (dual of [2412, 2336, 23]-code), using
- construction X applied to Ce(21) ⊂ Ce(18) [i] based on
- linear OA(773, 2401, F7, 22) (dual of [2401, 2328, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(765, 2401, F7, 19) (dual of [2401, 2336, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 2400 = 74−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(73, 11, F7, 2) (dual of [11, 8, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 48 = 72−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(73, 48, F7, 2) (dual of [48, 45, 3]-code), using
- construction X applied to Ce(21) ⊂ Ce(18) [i] based on
- discarding factors / shortening the dual code based on linear OA(776, 2412, F7, 22) (dual of [2412, 2336, 23]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(776, 2031, F7, 22) (dual of [2031, 1955, 23]-code), using
- discarding factors / shortening the dual code based on linear OOA(776, 2031, F7, 3, 22) (dual of [(2031, 3), 6017, 23]-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.