Information on Result #1731158
Digital (64, 76, 2391497)-net over F9, using net defined by OOA based on linear OOA(976, 2391497, F9, 15, 12) (dual of [(2391497, 15), 35872379, 13]-NRT-code), using
- OOA 2-folding and stacking with additional row [i] based on linear OOA(976, 4782995, F9, 3, 12) (dual of [(4782995, 3), 14348909, 13]-NRT-code), using
- discarding factors / shortening the dual code based on linear OOA(976, 4782996, F9, 3, 12) (dual of [(4782996, 3), 14348912, 13]-NRT-code), using
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(976, 4782996, F9, 12) (dual of [4782996, 4782920, 13]-code), using
- construction XX applied to Ce(11) ⊂ Ce(7) ⊂ Ce(6) [i] based on
- linear OA(971, 4782969, F9, 12) (dual of [4782969, 4782898, 13]-code), using an extension Ce(11) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,11], and designed minimum distance d ≥ |I|+1 = 12 [i]
- linear OA(950, 4782969, F9, 8) (dual of [4782969, 4782919, 9]-code), using an extension Ce(7) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,7], and designed minimum distance d ≥ |I|+1 = 8 [i]
- linear OA(943, 4782969, F9, 7) (dual of [4782969, 4782926, 8]-code), using an extension Ce(6) of the primitive narrow-sense BCH-code C(I) with length 4782968 = 97−1, defining interval I = [1,6], and designed minimum distance d ≥ |I|+1 = 7 [i]
- linear OA(94, 26, F9, 3) (dual of [26, 22, 4]-code or 26-cap in PG(3,9)), using
- linear OA(90, 1, F9, 0) (dual of [1, 1, 1]-code), using
- dual of repetition code with length 1 [i]
- construction XX applied to Ce(11) ⊂ Ce(7) ⊂ Ce(6) [i] based on
- embedding of OOA with Gilbert–Varšamov bound [i] based on linear OA(976, 4782996, F9, 12) (dual of [4782996, 4782920, 13]-code), using
- discarding factors / shortening the dual code based on linear OOA(976, 4782996, F9, 3, 12) (dual of [(4782996, 3), 14348912, 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.