Information on Result #3324021
Digital (172, 192, 87384)-net over F2, using 21 times duplication based on digital (171, 191, 87384)-net over F2, using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(2191, 87384, F2, 6, 20) (dual of [(87384, 6), 524113, 21]-NRT-code), using
- OOA 6-folding [i] based on linear OA(2191, 524304, F2, 20) (dual of [524304, 524113, 21]-code), using
- discarding factors / shortening the dual code based on linear OA(2191, 524307, F2, 20) (dual of [524307, 524116, 21]-code), using
- 1 times truncation [i] based on linear OA(2192, 524308, F2, 21) (dual of [524308, 524116, 22]-code), using
- construction X applied to Ce(20) ⊂ Ce(18) [i] based on
- linear OA(2191, 524288, F2, 21) (dual of [524288, 524097, 22]-code), using an extension Ce(20) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,20], and designed minimum distance d ≥ |I|+1 = 21 [i]
- linear OA(2172, 524288, F2, 19) (dual of [524288, 524116, 20]-code), using an extension Ce(18) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,18], and designed minimum distance d ≥ |I|+1 = 19 [i]
- linear OA(21, 20, F2, 1) (dual of [20, 19, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(21, s, F2, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X applied to Ce(20) ⊂ Ce(18) [i] based on
- 1 times truncation [i] based on linear OA(2192, 524308, F2, 21) (dual of [524308, 524116, 22]-code), using
- discarding factors / shortening the dual code based on linear OA(2191, 524307, F2, 20) (dual of [524307, 524116, 21]-code), using
- OOA 6-folding [i] based on linear OA(2191, 524304, F2, 20) (dual of [524304, 524113, 21]-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.