Information on Result #546588
There is no linear OA(393, 99, F3, 63) (dual of [99, 6, 64]-code), because residual code would yield linear OA(330, 35, F3, 21) (dual of [35, 5, 22]-code), but
- residual code [i] would yield linear OA(39, 13, F3, 7) (dual of [13, 4, 8]-code), but
- 1 times truncation [i] would yield linear OA(38, 12, F3, 6) (dual of [12, 4, 7]-code), but
Mode: Bound (linear).
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.
Compare with Markus Grassl’s online database of code parameters.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | No linear OA(394, 100, F3, 64) (dual of [100, 6, 65]-code) | [i] | Truncation | |
| 2 | No linear OA(395, 101, F3, 65) (dual of [101, 6, 66]-code) | [i] | ||
| 3 | No linear OOA(394, 99, F3, 2, 64) (dual of [(99, 2), 104, 65]-NRT-code) | [i] | m-Reduction for OOAs | |
| 4 | No linear OOA(395, 99, F3, 2, 65) (dual of [(99, 2), 103, 66]-NRT-code) | [i] | ||
| 5 | No linear OOA(396, 99, F3, 2, 66) (dual of [(99, 2), 102, 67]-NRT-code) | [i] | ||
| 6 | No linear OOA(397, 99, F3, 2, 67) (dual of [(99, 2), 101, 68]-NRT-code) | [i] | ||
| 7 | No linear OOA(398, 99, F3, 2, 68) (dual of [(99, 2), 100, 69]-NRT-code) | [i] | ||
| 8 | No linear OOA(399, 99, F3, 2, 69) (dual of [(99, 2), 99, 70]-NRT-code) | [i] | ||
| 9 | No linear OOA(3100, 99, F3, 2, 70) (dual of [(99, 2), 98, 71]-NRT-code) | [i] | ||
| 10 | No linear OOA(3101, 99, F3, 2, 71) (dual of [(99, 2), 97, 72]-NRT-code) | [i] | ||
| 11 | No linear OOA(3102, 99, F3, 2, 72) (dual of [(99, 2), 96, 73]-NRT-code) | [i] | ||
| 12 | No linear OOA(3103, 99, F3, 2, 73) (dual of [(99, 2), 95, 74]-NRT-code) | [i] | ||
| 13 | No linear OOA(3104, 99, F3, 2, 74) (dual of [(99, 2), 94, 75]-NRT-code) | [i] | ||
| 14 | No linear OOA(3105, 99, F3, 2, 75) (dual of [(99, 2), 93, 76]-NRT-code) | [i] | ||
| 15 | No linear OOA(3106, 99, F3, 2, 76) (dual of [(99, 2), 92, 77]-NRT-code) | [i] | ||
| 16 | No linear OOA(3107, 99, F3, 2, 77) (dual of [(99, 2), 91, 78]-NRT-code) | [i] | ||
| 17 | No linear OOA(3108, 99, F3, 2, 78) (dual of [(99, 2), 90, 79]-NRT-code) | [i] | ||
| 18 | No linear OOA(3109, 99, F3, 2, 79) (dual of [(99, 2), 89, 80]-NRT-code) | [i] | ||
| 19 | No linear OOA(3110, 99, F3, 2, 80) (dual of [(99, 2), 88, 81]-NRT-code) | [i] | ||
| 20 | No linear OOA(3111, 99, F3, 2, 81) (dual of [(99, 2), 87, 82]-NRT-code) | [i] | ||
| 21 | No linear OOA(3112, 99, F3, 2, 82) (dual of [(99, 2), 86, 83]-NRT-code) | [i] | ||
| 22 | No linear OOA(3113, 99, F3, 2, 83) (dual of [(99, 2), 85, 84]-NRT-code) | [i] | ||
| 23 | No linear OOA(3114, 99, F3, 2, 84) (dual of [(99, 2), 84, 85]-NRT-code) | [i] | ||
| 24 | No linear OOA(3115, 99, F3, 2, 85) (dual of [(99, 2), 83, 86]-NRT-code) | [i] | ||
| 25 | No linear OOA(3116, 99, F3, 2, 86) (dual of [(99, 2), 82, 87]-NRT-code) | [i] | ||
| 26 | No linear OOA(3117, 99, F3, 2, 87) (dual of [(99, 2), 81, 88]-NRT-code) | [i] | ||
| 27 | No linear OOA(3118, 99, F3, 2, 88) (dual of [(99, 2), 80, 89]-NRT-code) | [i] | ||
| 28 | No linear OOA(3119, 99, F3, 2, 89) (dual of [(99, 2), 79, 90]-NRT-code) | [i] | ||
| 29 | No linear OOA(3120, 99, F3, 2, 90) (dual of [(99, 2), 78, 91]-NRT-code) | [i] | ||
| 30 | No linear OOA(3121, 99, F3, 2, 91) (dual of [(99, 2), 77, 92]-NRT-code) | [i] | ||
| 31 | No linear OOA(3122, 99, F3, 2, 92) (dual of [(99, 2), 76, 93]-NRT-code) | [i] | ||
| 32 | No linear OOA(3123, 99, F3, 2, 93) (dual of [(99, 2), 75, 94]-NRT-code) | [i] | ||
| 33 | No linear OOA(3124, 99, F3, 2, 94) (dual of [(99, 2), 74, 95]-NRT-code) | [i] | ||
| 34 | No linear OOA(3125, 99, F3, 2, 95) (dual of [(99, 2), 73, 96]-NRT-code) | [i] | ||
| 35 | No linear OOA(3126, 99, F3, 2, 96) (dual of [(99, 2), 72, 97]-NRT-code) | [i] | ||
| 36 | No linear OOA(3127, 99, F3, 2, 97) (dual of [(99, 2), 71, 98]-NRT-code) | [i] | ||
| 37 | No linear OOA(3128, 99, F3, 2, 98) (dual of [(99, 2), 70, 99]-NRT-code) | [i] | ||
| 38 | No linear OOA(3129, 99, F3, 2, 99) (dual of [(99, 2), 69, 100]-NRT-code) | [i] | ||
| 39 | No linear OOA(3130, 99, F3, 2, 100) (dual of [(99, 2), 68, 101]-NRT-code) | [i] | ||
| 40 | No linear OOA(3131, 99, F3, 2, 101) (dual of [(99, 2), 67, 102]-NRT-code) | [i] | ||
| 41 | No linear OOA(3132, 99, F3, 2, 102) (dual of [(99, 2), 66, 103]-NRT-code) | [i] | ||
| 42 | No linear OOA(3133, 99, F3, 2, 103) (dual of [(99, 2), 65, 104]-NRT-code) | [i] | ||
| 43 | No linear OOA(3134, 99, F3, 2, 104) (dual of [(99, 2), 64, 105]-NRT-code) | [i] | ||
| 44 | No linear OOA(3135, 99, F3, 2, 105) (dual of [(99, 2), 63, 106]-NRT-code) | [i] | ||
| 45 | No linear OOA(3136, 99, F3, 2, 106) (dual of [(99, 2), 62, 107]-NRT-code) | [i] | ||
| 46 | No linear OOA(3137, 99, F3, 2, 107) (dual of [(99, 2), 61, 108]-NRT-code) | [i] | ||
| 47 | No linear OOA(3138, 99, F3, 2, 108) (dual of [(99, 2), 60, 109]-NRT-code) | [i] | ||
| 48 | No linear OOA(3139, 99, F3, 2, 109) (dual of [(99, 2), 59, 110]-NRT-code) | [i] | ||
| 49 | No linear OOA(3140, 99, F3, 2, 110) (dual of [(99, 2), 58, 111]-NRT-code) | [i] | ||
| 50 | No linear OOA(3141, 99, F3, 2, 111) (dual of [(99, 2), 57, 112]-NRT-code) | [i] | ||
| 51 | No linear OOA(3142, 99, F3, 2, 112) (dual of [(99, 2), 56, 113]-NRT-code) | [i] | ||
| 52 | No linear OOA(3143, 99, F3, 2, 113) (dual of [(99, 2), 55, 114]-NRT-code) | [i] | ||
| 53 | No linear OOA(3144, 99, F3, 2, 114) (dual of [(99, 2), 54, 115]-NRT-code) | [i] | ||
| 54 | No linear OOA(3145, 99, F3, 2, 115) (dual of [(99, 2), 53, 116]-NRT-code) | [i] | ||
| 55 | No linear OOA(3146, 99, F3, 2, 116) (dual of [(99, 2), 52, 117]-NRT-code) | [i] | ||
| 56 | No linear OOA(3147, 99, F3, 2, 117) (dual of [(99, 2), 51, 118]-NRT-code) | [i] | ||
| 57 | No linear OOA(3148, 99, F3, 2, 118) (dual of [(99, 2), 50, 119]-NRT-code) | [i] | ||
| 58 | No linear OOA(3149, 99, F3, 2, 119) (dual of [(99, 2), 49, 120]-NRT-code) | [i] | ||
| 59 | No linear OOA(3150, 99, F3, 2, 120) (dual of [(99, 2), 48, 121]-NRT-code) | [i] | ||
| 60 | No linear OOA(393, 99, F3, 2, 63) (dual of [(99, 2), 105, 64]-NRT-code) | [i] | Depth Reduction | |
| 61 | No linear OOA(393, 99, F3, 3, 63) (dual of [(99, 3), 204, 64]-NRT-code) | [i] | ||
| 62 | No linear OOA(393, 99, F3, 4, 63) (dual of [(99, 4), 303, 64]-NRT-code) | [i] | ||
| 63 | No linear OOA(393, 99, F3, 5, 63) (dual of [(99, 5), 402, 64]-NRT-code) | [i] | ||
| 64 | No digital (30, 93, 99)-net over F3 | [i] | Extracting Embedded Orthogonal Array | |
| 65 | No linear OA(394, 103, F3, 63) (dual of [103, 9, 64]-code) | [i] | Construction Y1 (Bound) | |