Information on Result #1719880
Digital (156, 184, 12151)-net over F4, using net defined by OOA based on linear OOA(4184, 12151, F4, 33, 28) (dual of [(12151, 33), 400799, 29]-NRT-code), using
- OOA 5-folding and stacking with additional row [i] based on linear OOA(4184, 60756, F4, 3, 28) (dual of [(60756, 3), 182084, 29]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(4184, 60758, F4, 3, 28) (dual of [(60758, 3), 182090, 29]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4184, 60758, F4, 28) (dual of [60758, 60574, 29]-code), using
- discarding factors / shortening the dual code based on linear OA(4184, 65599, F4, 28) (dual of [65599, 65415, 29]-code), using
- 1 times truncation [i] based on linear OA(4185, 65600, F4, 29) (dual of [65600, 65415, 30]-code), using
- construction X applied to Ce(28) ⊂ Ce(20) [i] based on
- linear OA(4169, 65536, F4, 29) (dual of [65536, 65367, 30]-code), using an extension Ce(28) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,28], and designed minimum distance d ≥ |I|+1 = 29 [i]
- linear OA(4121, 65536, F4, 21) (dual of [65536, 65415, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 65535 = 48−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(416, 64, F4, 7) (dual of [64, 48, 8]-code), using
- an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- construction X applied to Ce(28) ⊂ Ce(20) [i] based on
- 1 times truncation [i] based on linear OA(4185, 65600, F4, 29) (dual of [65600, 65415, 30]-code), using
- discarding factors / shortening the dual code based on linear OA(4184, 65599, F4, 28) (dual of [65599, 65415, 29]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(4184, 60758, F4, 28) (dual of [60758, 60574, 29]-code), using
- discarding factors / shortening the dual code based on linear OOA(4184, 60758, F4, 3, 28) (dual of [(60758, 3), 182090, 29]-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.