Information on Result #1728838
Digital (63, 88, 874)-net over F8, using net defined by OOA based on linear OOA(888, 874, F8, 27, 25) (dual of [(874, 27), 23510, 26]-NRT-code), using
- OOA 4-folding and stacking with additional row [i] based on linear OOA(888, 3497, F8, 3, 25) (dual of [(3497, 3), 10403, 26]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(888, 3497, F8, 25) (dual of [3497, 3409, 26]-code), using
- discarding factors / shortening the dual code based on linear OA(888, 4107, F8, 25) (dual of [4107, 4019, 26]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- linear OA(885, 4096, F8, 25) (dual of [4096, 4011, 26]-code), using an extension Ce(24) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,24], and designed minimum distance d ≥ |I|+1 = 25 [i]
- linear OA(877, 4096, F8, 22) (dual of [4096, 4019, 23]-code), using an extension Ce(21) of the primitive narrow-sense BCH-code C(I) with length 4095 = 84−1, defining interval I = [1,21], and designed minimum distance d ≥ |I|+1 = 22 [i]
- linear OA(83, 11, F8, 2) (dual of [11, 8, 3]-code), using
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- the primitive expurgated narrow-sense BCH-code C(I) with length 63 = 82−1, defining interval I = [0,1], and designed minimum distance d ≥ |I|+1 = 3 [i]
- discarding factors / shortening the dual code based on linear OA(83, 63, F8, 2) (dual of [63, 60, 3]-code), using
- construction X applied to Ce(24) ⊂ Ce(21) [i] based on
- discarding factors / shortening the dual code based on linear OA(888, 4107, F8, 25) (dual of [4107, 4019, 26]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(888, 3497, F8, 25) (dual of [3497, 3409, 26]-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.