Information on Result #1721762
Digital (30, 37, 70200)-net over F5, using net defined by OOA based on linear OOA(537, 70200, F5, 9, 7) (dual of [(70200, 9), 631763, 8]-NRT-code), using
- OOA stacking with additional row [i] based on linear OOA(537, 70201, F5, 3, 7) (dual of [(70201, 3), 210566, 8]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(537, 70201, F5, 7) (dual of [70201, 70164, 8]-code), using
- discarding factors / shortening the dual code based on linear OA(537, 78134, F5, 7) (dual of [78134, 78097, 8]-code), using
- construction X4 applied to Ce(6) ⊂ Ce(5) [i] based on
- linear OA(536, 78125, F5, 7) (dual of [78125, 78089, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(529, 78125, F5, 6) (dual of [78125, 78096, 7]-code), using an extension Ce(5) of the primitive narrow-sense BCH-code C(I) with length 78124 = 57−1, defining interval I = [1,5], and designed minimum distance d ≥ |I|+1 = 6 [i]
- linear OA(58, 9, F5, 8) (dual of [9, 1, 9]-code or 9-arc in PG(7,5)), using
- dual of repetition code with length 9 [i]
- linear OA(51, 9, F5, 1) (dual of [9, 8, 2]-code), using
- discarding factors / shortening the dual code based on linear OA(51, s, F5, 1) (dual of [s, s−1, 2]-code) for arbitrarily large s, using
- construction X4 applied to Ce(6) ⊂ Ce(5) [i] based on
- discarding factors / shortening the dual code based on linear OA(537, 78134, F5, 7) (dual of [78134, 78097, 8]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(537, 70201, F5, 7) (dual of [70201, 70164, 8]-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.