Information on Result #1722240
Digital (61, 73, 97657)-net over F5, using net defined by OOA based on linear OOA(573, 97657, F5, 15, 12) (dual of [(97657, 15), 1464782, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(573, 195315, F5, 3, 12) (dual of [(195315, 3), 585872, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(573, 195316, F5, 3, 12) (dual of [(195316, 3), 585875, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(573, 195316, F5, 2, 12) (dual of [(195316, 2), 390559, 13]-NRT-code), using
- OOA 2-folding [i] based on linear OA(573, 390632, F5, 12) (dual of [390632, 390559, 13]-code), using
- discarding factors / shortening the dual code based on linear OA(573, 390633, F5, 12) (dual of [390633, 390560, 13]-code), using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- linear OA(573, 390625, F5, 12) (dual of [390625, 390552, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(565, 390625, F5, 11) (dual of [390625, 390560, 12]-code), using an extension Ce(10) of the primitive narrow-sense BCH-code C(I) with length 390624 = 58−1, defining interval I = [1,10], and designed minimum distance d ≥ |I|+1 = 11 [i]
- linear OA(50, 8, F5, 0) (dual of [8, 8, 1]-code), using
- discarding factors / shortening the dual code based on linear OA(50, s, F5, 0) (dual of [s, s, 1]-code) for arbitrarily large s, using
- construction X applied to Ce(11) ⊂ Ce(10) [i] based on
- discarding factors / shortening the dual code based on linear OA(573, 390633, F5, 12) (dual of [390633, 390560, 13]-code), using
- OOA 2-folding [i] based on linear OA(573, 390632, F5, 12) (dual of [390632, 390559, 13]-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OOA(573, 195316, F5, 2, 12) (dual of [(195316, 2), 390559, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(573, 195316, F5, 3, 12) (dual of [(195316, 3), 585875, 13]-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.