Information on Result #1708368
Digital (86, 97, 131076)-net over F2, using net defined by OOA based on linear OOA(297, 131076, F2, 15, 11) (dual of [(131076, 15), 1966043, 12]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(297, 131077, F2, 5, 11) (dual of [(131077, 5), 655288, 12]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(297, 131077, F2, 4, 11) (dual of [(131077, 4), 524211, 12]-NRT-code), using
- OOA 4-folding [i] based on linear OA(297, 524308, F2, 11) (dual of [524308, 524211, 12]-code), using
- construction X applied to Ce(10) ⊂ Ce(8) [i] based on
- linear OA(296, 524288, F2, 11) (dual of [524288, 524192, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(277, 524288, F2, 9) (dual of [524288, 524211, 10]-code), using an extension Ce(8) of the primitive narrow-sense BCH-code C(I) with length 524287 = 219−1, defining interval I = [1,8], and designed minimum distance d ≥ |I|+1 = 9 [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(10) ⊂ Ce(8) [i] based on
- OOA 4-folding [i] based on linear OA(297, 524308, F2, 11) (dual of [524308, 524211, 12]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(297, 131077, F2, 4, 11) (dual of [(131077, 4), 524211, 12]-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.