Information on Result #682039
Linear OA(463, 64, F4, 63) (dual of [64, 1, 64]-code or 64-arc in PG(62,4)), using an extension Ce(62) of the primitive narrow-sense BCH-code C(I) with length 63 = 43−1, defining interval I = [1,62], and designed minimum distance d ≥ |I|+1 = 63
Mode: Constructive and linear.
This result is hidden, because other results with identical parameters exist.
Optimality
Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.
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Other Results with Identical Parameters
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Linear OA(463, 64, F4, 62) (dual of [64, 1, 63]-code) | [i] | Strength Reduction | |
| 2 | Linear OA(463, 64, F4, 61) (dual of [64, 1, 62]-code) | [i] | ||
| 3 | Linear OA(463, 64, F4, 60) (dual of [64, 1, 61]-code) | [i] | ||
| 4 | Linear OA(463, 64, F4, 59) (dual of [64, 1, 60]-code) | [i] | ||
| 5 | Linear OA(463, 64, F4, 58) (dual of [64, 1, 59]-code) | [i] | ||
| 6 | Linear OA(463, 64, F4, 57) (dual of [64, 1, 58]-code) | [i] | ||
| 7 | Linear OA(463, 64, F4, 56) (dual of [64, 1, 57]-code) | [i] | ||
| 8 | Linear OA(463, 64, F4, 55) (dual of [64, 1, 56]-code) | [i] | ||
| 9 | Linear OA(463, 64, F4, 54) (dual of [64, 1, 55]-code) | [i] | ||
| 10 | Linear OA(463, 64, F4, 53) (dual of [64, 1, 54]-code) | [i] | ||
| 11 | Linear OA(463, 64, F4, 52) (dual of [64, 1, 53]-code) | [i] | ||
| 12 | Linear OA(4124, 160, F4, 63) (dual of [160, 36, 64]-code) | [i] | Varšamov–Edel Lengthening | |
| 13 | Linear OA(4125, 163, F4, 63) (dual of [163, 38, 64]-code) | [i] | ||
| 14 | Linear OA(4126, 166, F4, 63) (dual of [166, 40, 64]-code) | [i] | ||
| 15 | Linear OA(4127, 169, F4, 63) (dual of [169, 42, 64]-code) | [i] | ||
| 16 | Linear OA(4128, 172, F4, 63) (dual of [172, 44, 64]-code) | [i] | ||
| 17 | Linear OA(4129, 175, F4, 63) (dual of [175, 46, 64]-code) | [i] | ||
| 18 | Linear OA(4136, 199, F4, 63) (dual of [199, 63, 64]-code) | [i] | ||
| 19 | Linear OA(4137, 203, F4, 63) (dual of [203, 66, 64]-code) | [i] | ||
| 20 | Linear OA(4153, 276, F4, 63) (dual of [276, 123, 64]-code) | [i] | ||
| 21 | Linear OA(4156, 293, F4, 63) (dual of [293, 137, 64]-code) | [i] | ||
| 22 | Linear OA(4157, 299, F4, 63) (dual of [299, 142, 64]-code) | [i] | ||
| 23 | Linear OA(4158, 305, F4, 63) (dual of [305, 147, 64]-code) | [i] | ||
| 24 | Linear OA(4159, 311, F4, 63) (dual of [311, 152, 64]-code) | [i] | ||
| 25 | Linear OA(4163, 337, F4, 63) (dual of [337, 174, 64]-code) | [i] | ||
| 26 | Linear OA(4164, 344, F4, 63) (dual of [344, 180, 64]-code) | [i] | ||
| 27 | Linear OA(4165, 351, F4, 63) (dual of [351, 186, 64]-code) | [i] | ||
| 28 | Linear OA(4168, 373, F4, 63) (dual of [373, 205, 64]-code) | [i] | ||
| 29 | Linear OA(4174, 422, F4, 63) (dual of [422, 248, 64]-code) | [i] | ||
| 30 | Linear OA(4175, 431, F4, 63) (dual of [431, 256, 64]-code) | [i] | ||
| 31 | Linear OA(4176, 440, F4, 63) (dual of [440, 264, 64]-code) | [i] | ||
| 32 | Linear OA(4180, 478, F4, 63) (dual of [478, 298, 64]-code) | [i] | ||
| 33 | Linear OA(4183, 509, F4, 63) (dual of [509, 326, 64]-code) | [i] | ||
| 34 | Linear OA(4194, 642, F4, 63) (dual of [642, 448, 64]-code) | [i] | ||
| 35 | Linear OA(4195, 656, F4, 63) (dual of [656, 461, 64]-code) | [i] | ||
| 36 | Linear OA(4196, 670, F4, 63) (dual of [670, 474, 64]-code) | [i] | ||
| 37 | Linear OA(4204, 795, F4, 63) (dual of [795, 591, 64]-code) | [i] | ||
| 38 | Linear OA(4206, 830, F4, 63) (dual of [830, 624, 64]-code) | [i] | ||
| 39 | Linear OA(4207, 848, F4, 63) (dual of [848, 641, 64]-code) | [i] | ||
| 40 | Linear OA(4215, 1008, F4, 63) (dual of [1008, 793, 64]-code) | [i] | ||
| 41 | Linear OA(4216, 1030, F4, 63) (dual of [1030, 814, 64]-code) | [i] | ||
| 42 | Linear OA(4221, 1148, F4, 63) (dual of [1148, 927, 64]-code) | [i] | ||
| 43 | Linear OA(4236, 1593, F4, 63) (dual of [1593, 1357, 64]-code) | [i] | ||
| 44 | Linear OA(4250, 2167, F4, 63) (dual of [2167, 1917, 64]-code) | [i] | ||
| 45 | Linear OA(4259, 2643, F4, 63) (dual of [2643, 2384, 64]-code) | [i] | ||
| 46 | Linear OA(484, 91, F4, 59) (dual of [91, 7, 60]-code) | [i] | ✔ | Construction X with Extended Narrow-Sense BCH Codes |
| 47 | Linear OA(490, 97, F4, 63) (dual of [97, 7, 64]-code) | [i] | ✔ | Construction XX with a Chain of Extended Narrow-Sense BCH Codes |
| 48 | Linear OA(483, 91, F4, 56) (dual of [91, 8, 57]-code) | [i] | ✔ | |
| 49 | Linear OA(489, 97, F4, 61) (dual of [97, 8, 62]-code) | [i] | ✔ | |
| 50 | Linear OA(485, 93, F4, 59) (dual of [93, 8, 60]-code) | [i] | ✔ | |